Question

Suppose the volume of a rectangular shopping cart basket is 12,090 cubic inches. If the length measures 31 inches and the width measures 19.5 inches, how high is the shopping cart basket?

Answer 1

Answer:

$\boxed {\tt h=20\ inches}$

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

$v=l*w*h$

We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.

$v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in$

$12,090 \ in^3= 31 \ in * 19.5 \ in * h$

Multiply 31 inches and 19.5 inches.

$12,090 \ in^3= 604.5 \ in^2 * h$

We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²

$\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}$

$\frac{12,090 \ in^3}{604.5 \ in^2}=h$

$20 \ in =h$

The height of the shopping basket is 20 inches.