Question

the formula v = lwh is used to find the volume of a box. if the length of a box is increased 4 times, the width is increased 4 times, and the height is increased 4 times, how does this affect the volume? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the volume is decreased by. (type a whole number.) b. the volume is increased by. (type a whole number.) c. the volume is multiplied by 4. (type a whole number.)

Explanation:

Step1: Recall volume formula

The volume formula of a box is $V = LWH$.

Step2: Analyze new dimensions

If the length $L$ is multiplied by 4, the width $W$ is multiplied by 4, and the height $H$ is multiplied by 4, the new volume $V_{new}=(4L)\times(4W)\times(4H)$.

Step3: Simplify new - volume expression

$V_{new}=4\times4\times4\times LWH = 64LWH$.
The original volume is $V = LWH$, so the volume is multiplied by 64.

Answer:

C. The volume is multiplied by 64.