Question

what is x if the volume of the box is 70 in³? solve.

Explanation:

Step1: Recall volume formula for a rectangular - box

The volume formula for a rectangular box is $V = l\times w\times h$, where $l$ is the length, $w$ is the width and $h$ is the height. Here, $l = x$, $w=2$ in, $h = 10$ in and $V = 70$ in³.

Step2: Substitute values into the formula

We get the equation $70= x\times2\times10$.

Step3: Simplify the right - hand side

$2\times10 = 20$, so the equation becomes $70 = 20x$.

Step4: Solve for x

Divide both sides of the equation by 20: $x=\frac{70}{20}=\frac{7}{2}=3.5$ in.

Answer:

$x = 3.5$ in