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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 6 Page 729

Use the formula for the volume of a pyramid.

1296 in.^3

Practice makes perfect

We are given the dimensions of a square pyramid. Let's draw this figure.

Orange square pyramid with height of 12 inches (with green label) and each side of the base of 18 inches (with blue label).

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 18 inches. Let's calculate its area! B = s^2 ⇒ B = 18^2 B= 324in.^2 We are given that the height is 12 inches. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 324, h= 12

V=1/3( 324)( 12)

▼

Simplify right-hand side

Multiply

V=1/3(3888)

MoveRightFacToNumOne

1/b* a = a/b

V=3888/3

Calculate quotient

V=1296

The volume of the pyramid is 1296 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