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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 43 Page 732

Use the formula for the volume of the prism.

3600cm^3

Practice makes perfect

Let's draw the mentioned prism.

prism

The volume of a prism can be calculated using the following formula. V=B * h We are given that the legs of the base of the prism, which is a right triangle, equal 10cm and 24cm. Let's calculate the area of the triangle.

B=1/2ab

a= 10, b= 24

B=1/2( 10)( 24)

Multiply

B=1/2(240)

MoveRightFacToNumOne

1/b* a = a/b

B=240/2

Calculate quotient

B=120

The area of the base equals 120cm^2 and we are given that the height of the prism equals 30cm. Let's substitute these values into the formula and solve for V.

V=Bh

B= 120, h= 30

V= 120( 30)

Multiply

V=3600

The volume of the prism is 3600 cubic centimeters.

Subchapter links

Lesson Check p.729

Practice and Problem-Solving Exercises p.729-732

Standardized Test Prep p.732

Mixed Review p.732