Question

The volume of a rectangle prism is 100 cubic inches. Which of the alternatives is it's greatest possible length?

Answer 1

The question is missing the alternatives. Here is the complete question.

The volume of a rectangle prism is 100 cubic inches. Which of the alternatives is its greatest possible length? a.) 100 b.) 10 c.) 20 d.) 60 e.) 50

Answer: a.) 100

Explanation: Since volume of a rectangle prism is V = length * width * depth, in order for the length to be the greatest possible, it has to be the biggest possible number and, width and depth has to be the lowest.

Since Volume = 100 cubic inches, the biggest number possible is 100, with the others being 1.

So, the greatest possible length for the prism is a.) 100.

Answer 2

the complete question in the attached figure

we know that

[volume of a rectangular prism]=L*W*H

of the alternatives presented the greatest is 100
100>10
100>20
100>60
100>50

V=L*W*H
for V=100 in³ and L=100 in
100 in³=100*W*H----------> W*H=1

so that the longest length is 100 the product of the width by the height must be equal to 1

the answer is
the option A) 100