Choose level of difficulty The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool.

Volume of Prisms - PoolChoose level of difficultyThe swimming pool has two identical sides in the

shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 1: Copy the trapezium shape of the pool

and write on the measurements.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 2: The pool is not filled to the top so you need to take the top bit away from the trapezium. Write down the measurements for the filled section

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 3: Work out the area of the trapezium. One method is to split

the shape into two parts

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 4: Find the volume of the pool.

Note it is a prism with a trapezium cross section.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

4m

Volume of Prisms - PoolHelp

Step 5: Calculate how long it takes to fill up a pool with this volume of water.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 6: Calculate the time by which the pool will be full.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

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Volume of Prisms - PoolHelp

Step 1: Copy the trapezium shape of the pool

and write on the measurements.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 2: The pool is not filled to the top so you need to take the top bit away from the trapezium. Write down the measurements for the filled section

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 3: Work out the area of the trapezium. One method is to split

the shape into two parts

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 4: Find the volume of the pool.

Note it is a prism with a trapezium cross section.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

4m

Volume of Prisms - PoolHelp

Step 5: Calculate how long it takes to fill up a pool with this volume of water.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 6: Calculate the time by which the pool will be full.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

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Volume of Prisms - PoolHint

Step 1: Draw a sketch

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHint

Step 2: The pool is not filled to the top.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHint

Step 3: Work out the area of the trapezium.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHelp

Step 4: Find the volume of the pool.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolThe swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolThe swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

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Volume of Prisms - PoolThe swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Hint

Step 1: Sketch the trapezium as high as the water level

Volume of Prisms - PoolHint

Step 2: Find the volume of the pool.

Note it is a prism with a trapezium cross section.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHint

Step 3: Calculate how long it takes to fill up a pool and the time it is

completed.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

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Volume of Prisms - PoolHint

Step 1: Find the volume of the water pool.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - PoolHint

Step 2: Calculate how long it takes to fill up a pool and the time it will be filled.

The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular.

The length of the pool is 12 m.The width of the pool is 4 m.The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end.Rafa fills the pool up with water from a hosepipe.The surface of the water is to be 10 cm from the top of the pool.Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second.When the pool is full, Rafa turns off the tap. At what time will this be?

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