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A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are the dimensions of its base?

User Sbru
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2 Answers

5 votes

Answer:

980 in

Explanation:

User Elton Saunders
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3 votes

Answer:

14 inches

Explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

User Yedidya Rashi
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5.1k points