Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The width of a rectangular box is 4 in. The height is one-fifth the length $x$. The volume is 180 in $^ { 2 }$. Find the length and the height of the box.
A) length $= 4$ in.; height $= 20$ in.
B) length $= 20$ in.; height $= 4$ in.
C) length $= 15 \mathrm { in }$.; height $= 3 \mathrm { in }$.
D) length $= 3$ in.; height $= 15$ in.

Question

Quizplus · Accepted Answer

The volume of a rectangular box is given by the formula $V = lwh$, where $l$ is the length, $w$ is the width, and $h$ is the height. Given $w = 4$ in, $h = \frac{1}{5}x$, and $V = 180$ in$^3$, we can set up the equation $180 = x \cdot 4 \cdot \frac{1}{5}x$. Solving for $x$ gives the length as 15 in, and the height as $1/5$ of 15 in, which is 3 in.

Write the Word or Phrase That Best Completes Each Statement xxx

Write the Word or Phrase That Best Completes Each Statement $x$