Question

The length and the width of a rectangular prism triple, while the height remains the same. What will happen to the volume with these changes?

volume becomes 18 times larger.
volume becomes 6 times larger.
volume becomes 9 times larger.
or volume becomes 3 times larger.
please help!

Answer 1

9

Explanation:

Answer 2

If the length, height, and width of the volume are L, W, and H, respectively. Then the volume would be equal to V = L(W)(H) = LWH.

Given that the length and width have tripled, then the new length and width of the prism would be 3L and 3H. Thus, the volume of the new prism is V = (3L)(3H)(W) = 9LWH.

Comparing this to the original volume, we can clearly see that the volume has increased 9 times after the changes.

Answer: Volume becomes 9 times larger.