Question

lara bought her favorite teacher, mr. rutherford, a golden apple paperweight with his name etched on it as an end - of - the - year gift. the apple came in a box that is 6 inches long, 6 inches wide, and has a volume of 162 cubic inches. how tall is the box? inches

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - box is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width, and $h$ is height.

Step2: Substitute known values

We know that $V = 162$ cubic inches, $l = 6$ inches, and $w = 6$ inches. So the equation becomes $162=6\times6\times h$.

Step3: Solve for $h$

First, calculate $6\times6 = 36$. Then the equation is $162 = 36h$. Divide both sides by 36: $h=\frac{162}{36}=4.5$ inches.

Answer:

$4.5$