Question

a rectangular prism has a volume of 120 cubic cm. if its length is 8 cm and its width is 5 cm, what is its height?
a. 3 cm
b. 4 cm
c. 5 cm
d. 6 cm

Explanation:

Step1: Recall volume formula

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

Step2: Rearrange formula for height

We can rewrite the formula as $h=\frac{V}{l\times w}$.

Step3: Substitute given values

Given $V = 120$ cm³, $l = 8$ cm and $w = 5$ cm. Then $h=\frac{120}{8\times5}$.

Step4: Calculate the value of height

First, calculate $8\times5 = 40$. Then $h=\frac{120}{40}=3$ cm.

Answer:

A. 3 cm