Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
2. Volume of Cones
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Exercise 33 Page 604

Use the formula for volume of a pyramid.

90 cm^3

Practice makes perfect

We are given a pyramid. Its base is a square with a side of 6 centimeters. Its height is 7.5 centimeters.

The volume of a pyramid can also be calculated using a known formula. V=1/3Bh Here V is the volume, B is the area of the base, and h is the height. The area of the rectangle equals to the square of the length its side. B = a^2 Here a is 6. We already have enough information to calculate the volume of the cone.
V = 1/3Bh
V = 1/3 a^2 h
V = 1/3 ( 6)^2( 7.5)
â–Ľ
Evaluate right-hand side
V = 1/3 (36)(7.5)
V = 1/3 (270)
V = 270/3
V = 90
The volume of the pyramid is 90 cubic centimeters.