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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

5. Volumes of Pyramids and Cones

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Exercise 1 Page 729

Use the formula for the volume of a pyramid.

96 in.^3

Practice makes perfect

The given figure is a pyramid.

Square pyramid with height 8 inches and all sides of the base equal to 6 inches. The height is green and the sides of the base are blue.

To calculate the volume of a pyramid, we can use a known formula where B is the area of the base and h is the height. V=1/3Bh The base of the pyramid is a square with the side length of 6 inches. Let's calculate its area! B = s^2 ⇒ B = 6^2 B= 36in^2 We are given that the height is 8 inches. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 36, h= 8

V=1/3( 36)( 8)

▼

Simplify right-hand side

Multiply

V=1/3(288)

MoveRightFacToNumOne

1/b* a = a/b

V=288/3

Calculate quotient

V=96

The volume of the pyramid is 96 cubic inches.

Subchapter links

Lesson Check p.729

Practice and Problem-Solving Exercises p.729-732

Standardized Test Prep p.732

Mixed Review p.732