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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

5. Volume of Pyramids

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Exercise 16 Page 659

Use the formula for the volume of a pyramid.

about 43.3 cubic inches

Practice makes perfect

We want to find the volume of the following pyramid.

We can calculate the volume of a pyramid using the following formula. V=1/3Bh Here, B is the area of the base, and h is the height. The base of our pyramid is a 6 12 inches by 4 inches rectangle. Its area B is a product of these sides. Let's find it!

6 12(4)

▼

Write mixed number as a fraction

a bc=a* c+b/c

6 * 2 + 1/2 (4)

Multiply

12+1/2(4)

Add terms

13/2(4)

MoveRightFacToNum

a/c* b = a* b/c

52/2

Calculate quotient

26

The base's area B is 26 square inches. The height h is 5 inches. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 26, h= 5

V=1/3( 26)( 5)

▼

Simplify right-hand side

Multiply

V=1/3(130)

MoveRightFacToNumOne

1/b* a = a/b

V=130/3

Calculate quotient

V=43.333333...

Round to 1 decimal place(s)

V≈ 43.3

The volume of the pyramid is about 43.3 cubic inches.

Subchapter links

Guided Practice p.656

Independent Practice p.657-658

H.O.T. Problems p.658

Standardized Test Practice p.658-660

Extra Practice p.659

Common Core Review p.659