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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 7 Page 729

Use the formula for the volume of a pyramid.

50 m^3

Practice makes perfect

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

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 5 m. Let's calculate its area! B = s^2 ⇒ B = 5^2 B= 25m^2 We are given that the height is 6m. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 25, h= 6

V=1/3( 25)( 6)

▼

Simplify right-hand side

Multiply

V=1/3(150)

MoveRightFacToNumOne

1/b* a = a/b

V=150/3

Calculate quotient

V=50

The volume of the pyramid is 50 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