McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
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Exercise 24 Page 905

Use the formula for the volume of a pyramid.

18 cm^3

Practice makes perfect

Consider the given solid.

The given solid is a pyramid. To calculate the volume of a pyramid we can use the known formula where h is the height and B is the area of the base. V=1/3Bh The base of the pyramid is a square with a side length of 3 centimeters. The area of the square equals the squared length of the side. B=s^2 ⇒ B= 3^2= 9 The area of the base is 9 square centimeters. Moreover, we have that the height of the pyramid is 6 centimeters. Let's substitute these values into the formula and calculate V.
V=1/3Bh
V=1/3( 9)( 6)
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Simplify right-hand side
V=1/3(54)
V=54/3
V=18
The volume of the pyramid is 18 cubic centimeters.