Question

A rectangular prism has a volume of 250 in3

Answer 1

Answer:

2 inches and 25 inches

Step-by-step explanation:

First you do 5 divided by 250. It gives you 50. If you do 25 times 2 it gives you 50. Hope this helps.

Answer 2

Rectangular prism is also known as cuboid. The side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

What is the volume of a rectangular prism?

Suppose that the rectangular prism considered has side lengths a, b, and c units.

Then its volume is given by

$V = a \times b \times c \: \rm unit^3$

For the give case, it is given that the rectangular prism in consideration has got the volume as 250 cubic inches.

Its one of the 3 sides is given to be as  of 5 inches.

That means, we get:

$V = a \times b \times c \: \rm unit^3\\\\250 = 5 \times b \times c\\\text{dividing both the sides by 5}\\\\50 = b \times c$

That means, other two sides should be such that their product comes out at 50 inch squared. (since one inch dimension is lost).

For the given cases in options, we can see that only the fourth option pairs (2 inch and 25 inches) are such that their product comes out as 50 sq. inches.

(since $2 \times 25 = 50$ )

Thus, the side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

Learn more about rectangular prism here:

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