Question

Question
Use the image to answer the question.

An illustration shows a rectangular prism. The top, front, and right faces are visible. The edges that are not visible are indicated by a dashed line. The base is labeled upper B equals 240 centimeters squared. The bottom front edge is labeled l equals 24 centimeters. A vertical edge is labeled h equals 8 centimeters.

Find the volume of the right rectangular prism.

(1 point)
cm3

Answer 1

To find the volume of the rectangular prism, we can use the formula for the volume \( V \) of a rectangular prism:

\[
V = l \times w \times h
\]

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

From the information given:
- The base area \( B \) is \( 240 \) cm².
- The length \( l \) is \( 24 \) cm.
- The height \( h \) is \( 8 \) cm.

We can find the width \( w \) using the base area formula:

\[
B = l \times w \implies w = \frac{B}{l}
\]

Substituting the known values:

\[
w = \frac{240 \text{ cm}^2}{24 \text{ cm}} = 10 \text{ cm}
\]

Now that we have \( l = 24 \) cm, \( w = 10 \) cm, and \( h = 8 \) cm, we can calculate the volume:

\[
V = l \times w \times h = 24 \text{ cm} \times 10 \text{ cm} \times 8 \text{ cm}
\]

Calculating this step-by-step:

\[
V = 24 \times 10 = 240 \text{ cm}^2
\]
\[
V = 240 \text{ cm}^2 \times 8 \text{ cm} = 1920 \text{ cm}^3
\]

Thus, the volume of the right rectangular prism is:

\[
\boxed{1920} \text{ cm}^3
\]