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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

5. Volumes of Pyramids and Cones

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Exercise 11 Page 730

Use the formula for the volume of a pyramid.

2048 m^3

Practice makes perfect

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

Orange square pyramid. Height of the pyramid is green and has a green label '24 m'. Sides of the base are blue and have blue labels '16 m'.

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 16 m. Let's calculate its area! B = s^2 ⇒ B = 16^2 B= 256m^2 We are given that the height is 24m. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 256, h= 24

V=1/3( 256)( 24)

▼

Simplify right-hand side

Multiply

V=1/3(6144)

MoveRightFacToNumOne

1/b* a = a/b

V=6144/3

Calculate quotient

V=2048

The volume of the pyramid is 2048 cubic meters.

Subchapter links

Lesson Check p.729

Practice and Problem-Solving Exercises p.729-732

Standardized Test Prep p.732

Mixed Review p.732