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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 22 Page 873

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

1440 cubic feet

Practice makes perfect

A semi-truck can be modeled by the following right rectangular prism.

The prism is h=108 inches high, l= 20 feet long, and w= 8 feet width. Recall that 1 foot is 12 inches. This tells us that the height is h= 10812= 9 feet.

We are asked to find the volume of the truck, \textcolor{darkorange}{V_\text{truck}}. The volume of a right rectangular prism is equal to the product of its dimensions.

\textcolor{darkorange}{V_\text{truck}}={\color{#0000FF}{\ell}}{\color{#009600}{w}}{\color{#FF0000}{h}}

SubstituteValues

Substitute values

\textcolor{darkorange}{V_\text{truck}}=({\color{#0000FF}{20}})({\color{#009600}{8}})({\color{#FF0000}{9}})

Multiply

\textcolor{darkorange}{V_\text{truck}}=\textcolor{darkorange}{1440}

Therefore, the volume of the semi-truck is 1440 cubic feet.

Subchapter links

1 Representations of Three-Dimensional Figures p.872

2 Surface Areas of Prisms and Cylinders p.872

3 Surface Areas of Pyramids and Cones p.872

4 Volumes of Prisms and Cylinders p.873

5 Volumes of Pyramids and Cones p.873

6 Surface Areas and Volumes of Spheres p.873

7 Spherical Geometry p.874

8 Congruent and Similar Solids p.874