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Volumes of Prisms and Cylinders - PowerPoint PPT Presentation

The area of the base B = w = 3  5 = 15. Volumes of Prisms and Cylinders. Lesson 11-4. Additional Examples. Find the volume of the prism below. V = B h Use the formula for volume. = 15 • 5 Substitute 15 for B and 5 for h. = 75 Simplify.

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The area of the base B=w= 3  5 = 15.

Volumes of Prisms and Cylinders

Lesson 11-4

Find the volume of the prism below.

V= BhUse the formula for volume.

= 15 • 5Substitute 15 for B and 5 for h.

= 75Simplify.

The volume of the rectangular prism is 75 in.3.

292 – 202 = 841  400 = 441  21

Volumes of Prisms and Cylinders

Lesson 11-4

Find the volume of the prism below.

The prism is a right triangular prism with triangular bases.

The base of the triangular prism is a right triangle where one leg is the base and the other leg is the altitude.

1 other leg.

2

1

2

The area B of the base is bh= (20)(21) = 210. Use the area of the base to find the volume of the prism.

Volumes of Prisms and Cylinders

Lesson 11-4

(continued)

V= BhUse the formula for the volume of a prism.

= 210 •40Substitute.

= 8400Simplify.

The volume of the triangular prism is 8400 m3.

The formula for the volume of a cylinder is other leg.V= r 2h. The diagram shows h and d, but you must find r.

1

2

r= d = 8

V= r 2hUse the formula for the volume of a cylinder.

= • 82•9Substitute.

= 576Simplify.

The volume of the cylinder is 576 ft3.

Volumes of Prisms and Cylinders

Lesson 11-4

Find the volume of the cylinder below. Leave your answer in terms of .

Volumes of Prisms and Cylinders

Lesson 11-4

Find the volume of the composite space figure.

Each prism’s volume can be found using the formula V = Bh.

Volumes of Prisms and Cylinders other leg.

Lesson 11-4