Question

A rectangular prism has a length of 20 centimeters, a height of 16 centimeters, and a width of 8 centimeters. What is its volume, in cubic centimeters?
Answer
Attempt 1 out of 2

V, equalsV=
centimeters, cubed centimeters
3

Answer 1

The volume \( V \) of a rectangular prism can be calculated using the formula:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

Given:
- Length = 20 cm
- Width = 8 cm
- Height = 16 cm

Now, substituting the values into the formula:

\[
V = 20 \, \text{cm} \times 8 \, \text{cm} \times 16 \, \text{cm}
\]

Calculating step-by-step:

1. First, multiply the length and width:
\[
20 \times 8 = 160 \, \text{cm}^2
\]

2. Now, multiply the result by the height:
\[
160 \, \text{cm}^2 \times 16 \, \text{cm} = 2560 \, \text{cm}^3
\]

So, the volume of the rectangular prism is:

\[
V = 2560 \, \text{cm}^3
\]

Thus, the answer is \( 2560 \, \text{cm}^3 \).