Question

A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.

Which equations could be used to determine the volume, V, of the prism?

Select each correct answer.

Responses

V = 8 × 6 × 6
V = 8 × 6 × 6

V = 8 × 6 × 3
V = 8 × 6 × 3

V = 8 × 9
V = 8 × 9

V = 48 × 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 the dimensions of the prism (length = 8 meters, width = 6 meters, height = 3 meters), we can evaluate the options provided:

1. **\( V = 8 \times 6 \times 6 \)** - This is incorrect because the height is not 6 meters.

2. **\( V = 8 \times 6 \times 3 \)** - This is correct. It correctly calculates the volume using the given dimensions.

3. **\( V = 8 \times 9 \)** - This is incorrect as it does not use the correct dimensions of the prism.

4. **\( V = 48 \times 3 \)** - This is also correct because \( 8 \times 6 = 48 \), and then multiplying by the height (3) is valid.

So the correct equations to determine the volume \( V \) of the prism are:

- **\( V = 8 \times 6 \times 3 \)**
- **\( V = 48 \times 3 \)**