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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 2 Page 657

Use the formula for the volume of a pyramid.

about 109.3 cubic meters

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 right triangle with legs measuring 9.1 meters and 6.8 meters. Since the legs are perpendicular to each other, every leg is also the height falling onto the other leg. Therefore, the area B of a right triangle is half the product of the legs. Let's find this area!

B = 1/2( 9.1)( 6.8)

Multiply

B = 1/2(61.88)

MoveRightFacToNumOne

1/b* a = a/b

B = 61.88/2

Calculate quotient

B = 30.94

The base's area B is 30.94 square meters. The height h is 10.6 meters. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 30.94, h= 10.6

V=1/3( 30.94)( 10.6)

▼

Simplify right-hand side

Multiply

V=1/3(332.787)

MoveRightFacToNumOne

1/b* a = a/b

V=327.964/3

Calculate quotient

V=109.321333...

Round to 1 decimal place(s)

V≈109.3

The volume of the pyramid is about 109.3 cubic meters.

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