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

Question

3 years ago

11

the dimensions of its base?

2 answers:

ehidna [41] · Answer 1 · 2022-10-14T08:54:41+03:00

8 0

Answer:

980 in

Step-by-step explanation:

just olya [345] · Answer 2 · 2022-10-14T06:34:01+03:00

Answer:

14 inches

Step-by-step 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