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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 31 Page 604

Use the formula for volume of a pyramid.

Approximately 110 ft^3

Practice makes perfect

We are given a pyramid. Its base is a triangle with legs of 5 and 12 feet. The height of the pyramid is 12 feet.

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 a right triangle equals to half of the product of the lengths of its legs adjacent to the right angle. B = 1/2ab Here a and b are 5 and 12. Let's find the area of the base.

B = 1/2 a b

a= 5, b= 12

B = 1/2 ( 5)( 12)

Multiply

B = 30

We already have enough information to calculate the volume of the cone.

V = 1/3Bh

B= 30, h= 11

V = 1/3 ( 30)( 11)

Multiply

V = 1/3 (330)

MoveRightFacToNum

a/c* b = a* b/c

V = 330/3

Calculate quotient

V = 110

The volume of the pyramid is 110 cubic feet.

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