Question
If X = 2 units, Y = 9 units, and Z = 8 units, what is the volume of the rectangular prism shown above?
A.
212 cubic units
B.
128 cubic units
C.
144 cubic units
D.
162 cubic units
Answers
GPT-4o mini
To find the volume of a rectangular prism, you use the formula:
\[
\text{Volume} = X \times Y \times Z
\]
Given:
- \( X = 2 \) units
- \( Y = 9 \) units
- \( Z = 8 \) units
Now, substitute in the values:
\[
\text{Volume} = 2 \times 9 \times 8
\]
Calculating step-by-step:
\[
2 \times 9 = 18
\]
Now multiply by \( Z \):
\[
18 \times 8 = 144
\]
Thus, the volume of the rectangular prism is:
\[
\text{Volume} = 144 \text{ cubic units}
\]
The correct option is:
**C. 144 cubic units**
\[
\text{Volume} = X \times Y \times Z
\]
Given:
- \( X = 2 \) units
- \( Y = 9 \) units
- \( Z = 8 \) units
Now, substitute in the values:
\[
\text{Volume} = 2 \times 9 \times 8
\]
Calculating step-by-step:
\[
2 \times 9 = 18
\]
Now multiply by \( Z \):
\[
18 \times 8 = 144
\]
Thus, the volume of the rectangular prism is:
\[
\text{Volume} = 144 \text{ cubic units}
\]
The correct option is:
**C. 144 cubic units**