Question

Question
A rectangular prism has a length of 414 in., a width of 3 in., and a height of 114 in.



Which expressions can be used to find the volume of the prism?



Select each correct answer.



Responses

114(3+414)
1 1 fourth left parenthesis 4 1 fourth plus 3 right parenthesis

414∙3∙114
4 1 fourth times 4 times 1 1 fourth

1234∙114
12 3 over 4 times 1 1 fourth

12(1234∙114)

Answer 1

To find the volume of a rectangular prism, the formula used is:

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

Given the dimensions of the prism:
- Length = 414 in.
- Width = 3 in.
- Height = 114 in.

We can identify which expressions can be used to find the volume:

1. **114(3 + 414)**: This expression does not represent the formula for volume (it combines width and length in a way that is not appropriate for volume calculation).

2. **1 1/4 (4 1/4 + 3)**: This expression also does not represent the volume calculation for the prism.

3. **414 ∙ 3 ∙ 114**: This is the correct expression for finding the volume, as it directly matches the formula for volume.

4. **4 1/4 times 4 times 1 1/4**: This expression does not correspond to the dimensions provided, so it is not a valid way to calculate volume.

5. **1234 ∙ 114**: This expression does not represent the volume correctly as it does not use the correct dimensions from the problem statement.

6. **12(1234 ∙ 114)**: Similar to above, this does not represent the volume calculation correctly.

Therefore, the only expression that can be used to find the volume of the prism is:

- **414 ∙ 3 ∙ 114**.