Warm Up 2/5 Draw and label the net of the triangular prism and then find the surface area 9 in. 8 in. 6 in. 11 in.

Warm Up 2/5Draw and label the net of the triangular prism and then find the surface area 9 in.

8 in

.

6 in.

11 in.

VOLUMEHow much can something hold?

STANDARD AND ESSENTIAL QUESTION

MCC6.G.2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. How can you find the volume of a solid

figure by using formulas and unit cubes?

BRAINSTORM! WHAT DO YOU REMEMBER ABOUT VOLUME?

IMPORTANT TERMS

Volume: The amount of space occupied by an object.

Prism: A polyhedron with two parallel and congruent faces, called bases, and all other faces that are parallelograms.

Right rectangular prism: In a right prism, the lateral faces are each perpendicular to the bases.

Volume of a Prism: The area of a base times the height. The number of cubic units to fill a prism.

HOW TO FIND VOLUME WITH UNIT CUBES

Length

Wid

th

Height

Unit Cube

* You can find volume by counting the number of unit cubes in a solid figure.

LEARN ZILLION VIDEO

http://learnzillion.com/lessons/1062-find-the-volume-of-a-rectangular-prism-by-filling-it-with-unit-cubes

HOW CAN YOU FIND THE VOLUME OF A SOLID?

1. Find the area of the base of the solid figure and multiply it by the height.

2. Find the volume by multiplying length times width times height.

V = B • h

V = l•w•h

Warm Up 2/21A cereal company is trying to decide which box would be the cheapest to make.

6 in. 4 in.

9 in.

3 in.

4 in.

1. What is the surface area of each box?2. Which would be the cheapest to

make and why?

Box A Box B

STANDARD AND ESSENTIAL QUESTION

MCC6.G.2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

What is the process for finding volume of figures with fractional edge lengths?

LET’S REVIEW

How do you calculate volume? Length • Width • Height

THINK FAST!!!

What is the volume of the rectangular

prism?

FRACTIONAL EDGE LENGTHS

First change all mixed numbers into improper fractions!

Then just multiply your length, width, and height together to find the volume.

Example!

7 3/5 in.

14 in.5 in.

V = 532 in3

VOLUME OF A CUBE

Volume of a cube = s3

1/5 cm.

1/2 in.

1/8 ft.

V = 1/125 cm3

V = 1/512 in3V = 1/8 in3

FRACTIONAL EDGE LENGTHS PRACTICE

V = 470 mm3

5 mm.

11 3/4 mm.8 mm.

V = 882 cm3

9 4/5 cm.

15 cm.6 cm.

Stacy has a rectangular flower box with a height of 9 inches, a width of 8 inches, and a length of 10 ½ inches. If the flower box is currently only 1/3 full with soil, how much soil is in the flower box?

Stacy’s flower

box is filled

with 252 in3 of

soil.

Warm Up 2/6Rachel has a rectangular swimming pool with a height of 8 feet, a width of 6 feet, and a length of 12 ½ feet. If the pool is currently only 1/3 full with water, how much water is in the pool?

Rachel’s pool

has 200 ft3 of

water.

STANDARD AND ESSENTIAL QUESTION

MCC6.G.2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

How can you combine multiple processes for finding volume?

LET’S REVIEW

1/5 in.

V = 1/125 in3

Calculate the volume of the following figures with fractional edge lengths

In a cube you multiply the side length together 3 times to get the volume of the cube!

http://learnzillion.com/lessons/198-find-the-volume-of-a-fractional-rectangular-prism-using-unit-cubes

COMBINING FRACTIONAL EDGE LENGTHS AND COUNTING UNIT CUBES!

1) Calculate the volume of one unit cube

1/4 cm.

1/4 cm.

Volume of one

unit cube = 1/64 cm3

Method #1

2) Count the total number of unit cubes in the figure

10

4

4

Total 160 cubes

3) Multiply the number of unit cubes by the

volume of one unit cube to get the total

volume.

160•1/64 cm3

Total Volume= 2.5 or 2 ½ cm3

METHOD 2!

1) Find the lengths of the sides using the

fractional measurement 1/4 cm.

2 ½ cm

1 cm

1 cm

2) Use the volume formula!

(Multiply length times width times height)

2 ½ cm

1 cm 1 cm• • =

Total Volume= 2.5 or 2 ½ cm3

Discussion QuestionWhy did we get the same volume using

both methods?

VOLUME SPEED ROUND

5 mm.

10 mm.8 mm.

4 in.

12 in.2 in.

3 cm.

6 ft.

1.

3.

2.

4.

400 mm3 27 cm3

96 in3 216 ft3