5 Minute Check Find the volume. Complete on homework. 1.2. 3.4.

• Slide 1

5 Minute Check Find the volume. Complete on homework. 1.2. 3.4. Slide 2 5 Minute Check Find the volume. Complete on homework. 1. Slide 3 5 Minute Check Slide 4 Find the volume. Complete on homework. 2. Slide 5 5 Minute Check Slide 6 Find the volume. Complete on homework. 3. Slide 7 5 Minute Check Find the volume. Complete on homework. 3. B = 3 2 2 = 3 V = Bh V = 3 4 = 12m Slide 8 5 Minute Check Find the volume. Complete on homework. 4. Slide 9 5 Minute Check Find the volume. Complete on homework. 4. B = 6 2 2 = 6 V = Bh V = 6 7 = 42cm Slide 10 Friday, March 13 Chapter 6.10.3 Surface Areas of Rectangular Prisms Slide 11 Objective: To find the surface area of rectangular prisms. Slide 12 Surface Areas of Rectangular Prisms The surface area (SA) of a three dimensional figure is the outer face or exterior boundary of the figure. Slide 13 Surface Areas of Rectangular Prisms There are two main formulas to find the surface area of a rectangular prism. Rectangular Prism Formula Universal Prism Formula Slide 14 Surface Areas of Rectangular Prisms The advantage in using the Universal Prism Formula is that it can used with triangular prisms in the next lesson. Otherwise a new formula will need to be memorized. Slide 15 Surface Areas of Rectangular Prisms Rectangular Prism Formula The surface area (SA) of a rectangular prism is 2 x length x width + 2 x height x width + 2 x length x height, or SA = 2lw + 2hw +2lh Slide 16 Surface Areas of Rectangular Prisms Universal Prism Formula The formula to find the surface area (SA) of a prism is 2 x Area of the Base + height x perimeter of the Base, or SA = 2B + hp Slide 17 Surface Areas of Rectangular Prisms In a three dimensional shape the Base (B) is area of the bottom and top of the shape and determines the name of the prism. Slide 18 Surface Areas of Rectangular Prisms SA = 2B + hp Area of the Base (B) = lw Perimeter of Base(p) = w + l + w + l height (h) = The distance from Base to Base. Slide 19 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp To Find the SA of a rectangular prism. Step 1 Find the area of the base. Slide 20 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 5 7 = 35 To Find the SA of a rectangular prism. Step 1 Find the area of the base. (The base will be on the face it is resting on) Slide 21 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35 To Find the SA of a rectangular prism. Step 2 Find the perimeter of the base. Slide 22 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35 p = 5+7+5+7=24 To Find the SA of a rectangular prism. Step 2 Find the perimeter of the base. Slide 23 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35 p =24 To Find the SA of a rectangular prism. Step 3 Find the height. Slide 24 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35 p =24 h = 4 To Find the SA of a rectangular prism. Step 3 Find the height. Slide 25 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35, p =24, h = 4 To Find the SA of a rectangular prism. Step 4 Substitute the measurements in for the correct variables and solve. Slide 26 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism using SA = 2B + hp B = 35, p =24, h = 4 SA = 2 35 + 4 24 SA = 70 + 96 = 166 ft To Find the SA of a rectangular prism. Step 4 Substitute the measurements in for the correct variables and solve. Slide 27 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. w = 5, l = 7, h = 4 SA = 2lw + 2hw +2lh SA = 275 + 245 + 274 SA = 70 + 40 + 56 = 166 ft Slide 28 Surface Areas of Rectangular Prisms Another way to find the SA is to deconstruct the shape into a net. The surface area (SA) of a prism is the sum of all the areas of its faces. Slide 29 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. With a net, compute the area if it was a composite figure. Slide 30 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. ? Slide 31 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 ? Slide 32 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 ? Slide 33 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 28 ? Slide 34 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 28 ? Slide 35 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 28 20 28 ? Slide 36 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 35 28 20 28 20 Slide 37 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 35+35+ 28+28+20+20= 166 ft 35 28 20 28 20 Slide 38 Surface Areas of Rectangular Prisms You may either be given the 3D drawing or a net and asked to determine the surface area. You can construct a net from a 3D drawing, if you wish. Slide 39 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. Do this on your own. Slide 40 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 2 B Slide 41 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 212 + h Slide 42 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 212 + 2 p Slide 43 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 212 + 2 14 Slide 44 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 212 + 14 2 SA = 24 + 28 Slide 45 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. B = 12, p = 14, h = 2 SA = 212 + 14 2 SA = 24 + 28 = 52m Slide 46 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. 4m 2m 3m SA = 12+12+8+8+6+6=52m (Bottom) 12 6 8 8 6 Slide 47 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. Do this on your own. Slide 48 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 2B Slide 49 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 233.6 + p Slide 50 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 233.6 + 23.6h Slide 51 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 233.6 + 23.66 Slide 52 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 233.6 + 23.66 SA = 67.2 + 141.6 Slide 53 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. B = 33.6, p = 23.6, h = 6 SA = 233.6 + 23.66 SA = 67.2 + 141.6 SA = 208.8 cm Slide 54 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. Do this on your own. Slide 55 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 54+54+18+18+12+12 = 168yd 54 18 12 Slide 56 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. w = 9, l = 6, h = 2 B = 54, p = 30 SA = 2 54 + 2 30 = 168yd SA = 269 + 229 + 262 = 168yd Slide 57 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. Slide 58 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA =150+150+150+150+100+100=800 in 150 100 Slide 59 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. w = 15, l = 10, h = 10 B = 150, p = 50 SA = 2 150 + 10 50 = 800 in SA = 21015 + 21015 + 21010 = 800 in Slide 60 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. Slide 61 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. SA = 6 6.76 = 40.56 km 6.76 Slide 62 Surface Areas of Rectangular Prisms Find the SA of the rectangular prism. w = 2.6, l = 2.6, h = 2.6 B = 6.76, p = 10.4 SA = 2 6.76 + 2.6 10.4 = 40.56 km SA = 22.62.6 + 22.62.6 + 22.62.6 = 40.56 km Slide 63 Surface Areas of Rectangular Prisms What is the surface area of the video game box? Slide 64 Surface Areas of Rectangular Prisms What is the surface area of the video game box? w = 16, l = 15, h = 11 B = 240, p = 62 SA = 2 240 + 11 62 = 1162cm Slide 65 Surface Areas of Rectangular Prisms A geode is being sent as a gift. It is packed in a box that measures 7 inches long, 3 inches wide, and 16 inches tall. What is the surface area of the box? Do this on your own. Slide 66 Surface Areas of Rectangular Prisms A geode is being sent as a gift. It is packed in a box that measures 7 inches long, 3 inches wide, and 16 inches tall. What is the surface area of the box? w = 3, l = 7, h = 16 B = 21, p = 20 SA = 2 21 + 16 20 = 362in SA = 273 + 2163 + 2716 = 362in Slide 67 PARCC 5 Slide 68 Slide 69 PARCC 6 6. Small cubes with edge lengths of inch will be packed into the right rectangular prism shown. How many small cubes are needed to completely fill the right rectangular prism? Slide 70 PARCC 6 6. Small cubes with edge lengths of inch will be packed into the right rectangular prism shown. How many small cubes are needed to completely fill the right rectangular prism? 18 20 15 = 5400 18 20 15 Slide 71 PARCC 7 7. 18.3 x 4.39 = Slide 72 PARCC 7 7. 18.3 x 4.39 = 80.337 18.3 4.39 1647 5490 73200 80.337 Slide 73 Surface Areas of Rectangular Prisms Agenda Notes Homework Homework Practice 6.10.3 Due at the end of the period Chapter 9.9/6.10 Test Thursday, March 19