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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 32 Page 604

Use the formula for volume of a pyramid.

482.1 m^3

Practice makes perfect

We are given a pyramid. Its base is a rectangle with sides 9.2 and 13.1 meters. Its height is 12 meters.

The volume of a pyramid can also be calculated using a known formula. V=1/3Bh Here V is the volume, B is the area of the base, and h is the height. The area of the rectangle equals to the product of the lengths of its sides. B = ab Here a and b are 9.2 and 13.1. We already have enough information to calculate the volume of the cone.

V = 1/3Bh

Rewrite B as a b

V = 1/3 a bh

SubstituteValues

Substitute values

V = 1/3 ( 9.2)( 13.1)( 12)

▼

Evaluate right-hand side

Multiply

V = 1/3 (1446.24)

MoveRightFacToNum

a/c* b = a* b/c

V = 1446.24/3

Use a calculator

V = 482.08

Round to 1 decimal place(s)

V ≈ 482.1

The approximate volume of the pyramid is 482.1 cubic meters.

Subchapter links

Guided Practice p.600

Independent Practice p.601-602

H.O.T. Problems p.602

Standardized Test Practice p.602-604

Extra Practice p.603

Common Core Review p.604