McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Volumes of Pyramids and Cones
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Exercise 4 Page 844

Use the formula for the volume of a pyramid.

298.7 m^3

Practice makes perfect
The volume of a pyramid can be calculated using a known formula. V=1/3BhIn this formula B is the area of the base, and h is the height. In our exercise we are given the dimensions of the square pyramid. This means that the base of this pyramid is a square. Therefore, we can find the area of the base by raising the side length of a base, 8, to the second power. B= 8^2 ⇕ B=64m^2 The area of the base is 64 square meters. We are also given that the height is 14 m. Let's substitute these values into the volume formula.
V=1/3Bh
V=1/3( 64)( 14)
Simplify right-hand side
V=1/3(896)
V=896/3
V=298.666...
V≈ 298.7
The volume of the pyramid is approximately 298.7 m^3.