Question

EASY QUESTION!!! Medal to the best!!!
What is the new volume of a rectangular prism that is originally eighteen cubic meters and is then resized using a scale factor of 2 on each side length?

nine cubic meters

thirty-six cubic meters

seventy-two cubic meters

one hundred forty-four cubic meters

Answer 1

now, increase using a scale factor of 2,

Answer 2

So the formula for the first one is \[X \times Y \times Z\] and we know that it's equal to18.

for the new prism,
\[X \times 2 \times Y \times 2 \times Z \times 2\] this is same as\[X \times Y \times Z \times 2 \times 2 \times 2\] which is same as\[X \times Y \times Z \times 8\]
we know that \[X \times Y \times Z =18\]so,
\[18 \times 8\]
and
\[18 \times 8=144\]
so the final answer is \[144m^2\]

Or D.