Big Ideas Math: Modeling Real Life, Grade 7
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6. Cross Sections of Three-Dimensional Figures
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Exercise 2 Page 443

Use the formula for the volume of a pyramid.

About 61.33 cubic centimeters

Practice makes perfect

Consider the given pyramid.

The volume of a pyramid can be calculated using a known formula. V=1/3Bh In this formula, B is the area of the base, and h is the height. The base of the pyramid has an area of 23 square centimeters. We are also given that the height of the pyramid is 8 centimeters. Let's substitute these values into the formula and calculate V.
V=1/3Bh
V=1/3( 23)( 8)
Simplify right-hand side
V=1/3(184)
V=184/3
V=61.333333
V≈ 61.33
The volume of the pyramid is about 61.33 cubic centimeters.