Chapter 9.1, Problem 30E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity (volume) of its interior?

To determine

**To find:**

The storage capacity (volume) of the interior of the storage shed in the shape of a trapezoidal prism.

Explanation

The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude.

For a regular solid prism with base area

**Calculation:**

Given,

The volume of the a prism with base area â€˜

First let us calculate the base area of the prism.

The base of the prism is trapezoidal and its area is given by the formula.

Here, â€˜

From the given figure we have,

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