Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
6. Surface Areas and Volumes of Spheres
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Exercise 65 Page 740

Use the formula for the volume of a pyramid.

16m^3

Practice makes perfect

The given solid is a pyramid, and we want to calculate its volume.

Let's recall the formula for the volume of a pyramid. V=1/3Bh Here, B is the area of the base of the pyramid, and h its height. We can see in the given diagram that the height is 3 meters, and that the base is a square of side length 4 meters. To find the area of the square, we raise its side length to the power of 2. B=(4m)^2 ⇔ B=16m^2 Finally, let's substitute B= 16 and h= 3 in the formula for the volume of a pyramid, and simplify.
V=1/3Bh
V=1/3( 16)( 3)
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Simplify right-hand side
V=16/3(3)
V=16
The volume of the pyramid is 16m^3.