Big Ideas Math: Modeling Real Life, Grade 7
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Exercise 8 Page 450

Use the formula for the volume of a pyramid.

48m^3

The given solid is a rectangular pyramid.

The volume of a pyramid can also be calculated using a known formula. V=1/3Bh Here, B is the area of the base, and h is the height of the prism. The base of the pyramid is a rectangle that is 8 meters long and 3 meters wide. The area of a rectangle equals the product of the length and the width. B=l w ⇒ B&= 8( 3) &= 24m^2 The area of the pyramid's base is 24 square meters. We are also given that the pyramid's height is 6 meters. Let's substitute these values into the formula and calculate V.
V=1/3Bh
V=1/3( 24)( 6)
Simplify right-hand side
V=1/3(144)
V=144/3
V=48
The volume of the pyramid is 48 cubic meters.