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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 25 Page 873

Use the formula for the volume of a pyramid.

91 636 272 cubic feet

Practice makes perfect

The Great Pyramid can be modeled by the following right square pyramid with a height of h= 481 feet and a base side length of s= 756 feet.

We are asked to find the volume of the pyramid. Let's use the formula for the volume of a pyramid. V=1/3 B h Here, B is the area of the base. Since the base is a square with the side length of s= 756 feet, its area is B= 756^2= 571 536 square feet. Now, let's find the volume of the pyramid.

V=1/3 B h

B= 571 536, h= 481

V=1/3( 571 536)( 481)

▼

Evaluate right-hand side

Multiply

V=1/3* 274 908 816

MoveRightFacToNumOne

1/b* a = a/b

V=274 908 816/3

Calculate quotient

V=91 636 272

Finally, the volume of the Great Pyramid is 91 636 272 cubic feet.

Subchapter links

1 Representations of Three-Dimensional Figures p.872

2 Surface Areas of Prisms and Cylinders p.872

3 Surface Areas of Pyramids and Cones p.872

4 Volumes of Prisms and Cylinders p.873

5 Volumes of Pyramids and Cones p.873

6 Surface Areas and Volumes of Spheres p.873

7 Spherical Geometry p.874

8 Congruent and Similar Solids p.874