Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Volumes of Pyramids
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Exercise 1 Page 434

The volume of a pyramid is one third the area of its base times the height of the pyramid.

42ft^3

Practice makes perfect

Let's consider the given pyramid.

Pyramid
We want to find the volume of the pyramid. Recall that the volume V of a pyramid is one third the area of the base B times the height of the pyramid h. V=1/3 B h In this pyramid, h= 6 and B= 21. Let's substitute these values into the formula and calculate the volume of the pyramid.
V = 1/3Bh
V = 1/3 (21) (6)
V = 1/3(126)
V=126/3
V=42
The volume of the pyramid is 42 cubic feet.