 # 10.7 Volume of Prisms 6.4.5 I can find the volume in rectangular and triangular prisms.

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10.7 Volume of Prisms 6.4.5 I can find the volume in rectangular and triangular prisms

Warm Up Find the area of each figure. Use 3.14 for . 96 in 2 50.24 ft 2 1. rectangle with base length 8 in. and height 12 in. 2. circle with diameter 8 ft

Volume is the number of cubic units needed to fill a space. To find the volume of prisms you simply multiply the area of the base times the height. V = area of base x height

To find the volume of any prism, you can use the formula V= Bh, where B is the area of the base, and h is the prism’s height.

V = 3,718 in 3

V = 5,568 in 3 16 in. 29 in. 12 in.

V = 10.14 m 3

Find the volume of the triangular prism. V = 136.5 ft 3

V = BhV = 23.52 m 3 1.6 m 7 m 4.2 m

Find the volume of each figure. 1. rectangular prism with length 20 cm, width 15 cm, and height 12 cm 2. triangular prism with a height of 12 cm and a triangular base with base length 7.3 cm and height 3.5 cm 3. Find the volume of the figure shown. 3,600 cm 3 153.3 cm 3 38.13 cm 3

Identify the volume of a rectangular prism with length 25 cm, width 20 cm, and height 10 cm. A. 5,000 cm 3 B. 5,225 cm 3 C. 5,450 cm 3 D. 5,650 cm 3

Identify the volume of the figure shown. A. 72.52 cm 3 B. 63.64 cm 3 C. 62.5 cm 3 D. 61.67 cm 3

10.8 Volume of Cylinders 6.4.5 I can find the volumes of cylinders

Warm Up Find the volume of each figure described. 359.04 cm 3 1,320 cm 3 1. rectangular prism with length 12 cm, width 11 cm, and height 10 cm 2. triangular prism with height 11 cm and triangular base with base length 10.2 cm and height 6.4 cm

To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r 2, so the formula is V = Bh = r 2 h.

Find the volume V of the cylinder to the nearest cubic unit. V  351.68 V = r 2 h The volume is about 352 ft 3.

V  863.5 The volume is about 864 cm 3. Find the volume V of the cylinder to the nearest cubic unit.

V  565.2 The volume is about 565 ft 3. 6 ft 5 ft

V  301.44 The volume is about 301 cm 3. 8 cm 6 cm

V  1,230.88 The volume is about 1,231 in 3. r = + 5 h = 8 in h 4

V  1,384.74 The volume is about 1,385 in 3.

Find which cylinder has the greater volume. Cylinder 1: V  84.78 cm 3 Cylinder 2: V  169.56 cm 3 Cylinder 2 has the greater volume because 169.56 cm 3 > 84.78 cm 3.

Find which cylinder has the greater volume. Cylinder 1: V  196.25 cm 3 Cylinder 2: V  50.24 cm 3 Cylinder 1 has the greater volume because 196.25 cm 3 > 50.24 cm 3. 10 cm 2.5 cm 4 cm

1. Identify the volume of a cylinder with a radius of 11 ft and a height of 5 ft to the nearest cubic unit. Use 3.14 for  A. 1,900 ft 3 B. 1,890 ft 3 C. 1,706 ft 3 D. 690 ft 3 Lesson Quiz for Student Response Systems

2. Identify the volume of a cylinder with a radius of 4.3 ft and a height of 5 ft to the nearest cubic unit. Use 3.14 for  A. 338 ft 3 B. 305 ft 3 C. 297 ft 3 D. 290 ft 3 Lesson Quiz for Student Response Systems

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