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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 20 Page 835

The volume of a rectangular prism is equal to the product of its dimensions.

2740.5 cubic inches

Practice makes perfect

A planter is in the shape of a rectangular prism 18 inches long, 14.5 inches deep, and 12 inches high.

We are asked to find the volume of potting soil in the planter if the planter is filled to 1.5 inches below the top.

The potting soil in the planter is modeled by the rectangular prism with the length of l= 18 inches, the width of w= 14.5 inches, and the height of h=12-1.5= 10.5 inches. The volume of a rectangular prism is equal to the product of its dimensions.

V_\text{soil}={\color{#0000FF}{\ell}} {\color{#009600}{w}} {\color{#FF0000}{h}}

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Substitute values and evaluate

SubstituteValues

Substitute values

V_\text{soil}=({\color{#0000FF}{18}}) ({\color{#009600}{14.5}}) ({\color{#FF0000}{10.5}})

Multiply

V_\text{soil}=2740.5

This tells us that the volume of the potting soil is 2740.5 cubic inches.

Subchapter links

Exercises p.834-838