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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 9 Page 730

Use the formula for the volume of a pyramid.

443.7 cm^3

Practice makes perfect

Let's take a look at the given square pyramid.

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 11 cm. Let's calculate its area! B = s^2 ⇒ B = 11^2 B= 121cm^2 We are given that the height is 11cm. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 121, h= 11

V=1/3( 121)( 11)

▼

Simplify right-hand side

Multiply

V=1/3(1331)

MoveRightFacToNumOne

1/b* a = a/b

V=1331/3

Calculate quotient

V=443.666667...

Round to 1 decimal place(s)

V≈ 443.7

The volume of the pyramid is approximately 443.7cm^3.

Subchapter links

Lesson Check p.729

Practice and Problem-Solving Exercises p.729-732

Standardized Test Prep p.732

Mixed Review p.732