High School

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The surface area of a right rectangular prism is \( 68 \frac{2}{3} \) square inches. The dimensions of its base are 3 inches and 7 inches. What is the height of the prism?

Answer :

Answer:

1 1/3 inches

Step-by-step explanation:

The formula for the surface area of the prism can be written as ...

A = 2(lw +h(l+w))

Filling in the given values and solving for h, we find ...

68 2/3 = 2(3·7 + h(3+7))

68 2/3 = 42 +20h . . . . eliminate parentheses

26 2/3 = 20h . . subtract 42

1 1/3 = h . . . . . . . divide by 20

The height of the prism is 1 1/3 inches.

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