Question
If X = 7 units, Y = 3 units, and Z = 6 units, what is the volume of the rectangular prism shown above?
A.
162 cubic units
B.
252 cubic units
C.
126 cubic units
D.
63 cubic units
Answers
GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = X \times Y \times Z
\]
where \( X \), \( Y \), and \( Z \) are the dimensions of the prism.
Given:
- \( X = 7 \) units
- \( Y = 3 \) units
- \( Z = 6 \) units
Now, plug the values into the formula:
\[
V = 7 \times 3 \times 6
\]
Calculating step-by-step:
1. First calculate \( 7 \times 3 = 21 \).
2. Then multiply \( 21 \times 6 = 126 \).
Thus, the volume of the rectangular prism is:
\[
V = 126 \text{ cubic units}
\]
The correct answer is **C. 126 cubic units**.
\[
V = X \times Y \times Z
\]
where \( X \), \( Y \), and \( Z \) are the dimensions of the prism.
Given:
- \( X = 7 \) units
- \( Y = 3 \) units
- \( Z = 6 \) units
Now, plug the values into the formula:
\[
V = 7 \times 3 \times 6
\]
Calculating step-by-step:
1. First calculate \( 7 \times 3 = 21 \).
2. Then multiply \( 21 \times 6 = 126 \).
Thus, the volume of the rectangular prism is:
\[
V = 126 \text{ cubic units}
\]
The correct answer is **C. 126 cubic units**.