Question

A clothing truck is shaped like a rectangular prism. The volume of the truck 15 ft cubed. The area of the base of the container is 6 ft squared. What is the height of the clothing truck in feet?

Answer 1

Answer: 2.5 ft

Step-by-step explanation:

The volume of a rectangular prism is given by the following formula:

$V=(l)(w)(h)$ (1)

Where:

$l$ is the length of the base

$w$ is the width of the base

$h$ is the height of the prism

On the other hand, tha area of a rectangle is:

$A=(l)(w)$ (2)

Then, we can rewrite (1) in terms of (2):

$V=(A)(h)$ (3)

Now, we know the value of the volume and the area of the base:

$V=15ft^{3}$

$A=6ft^{2}$

Substituting these values in (3):

$15ft^{3}=(6ft^{2})(h)$ (4)

Isolating $h$:

$h=2.5 ft$ This is the height of the truck