Question

Jenny uses small boxes to ship the earrings she sells on her jewelry website. The box is in the shape of a rectangular prism and has a volume of 8 cubic inches. The length of the box is 2 inches. The height of the box is 3 inches more than the width. Complete the equation that models the volume of the box in terms of the width, x. Volume of a prism (V) = (length)(width)(height)

Answer 1

Answer:

$2x(x + 3) = 8$

Explanation:

The volume of a rectangular box is given by;

$V = l \times w \times h$

It was given that, the volume of the box is V=8 cubic inches.

The length of the box is l=2 inches.

Let the width of the box be x inches.

The height of the box is 3 inches more than the width. That is

$h = x + 3$

We now substitute all values into the formula to get:

$8 = 2 \times x(x + 3)$

Therefore the required equation is

$2x(x + 3) = 8$