Question

A rectangular prism has a length of 10 meters, a width of 5 meters, and a height of 2 meters.

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

Select each correct answer.

Responses

V = 50 × 2
V = 50 × 2

V = 10 × 5 × 2
V = 10 × 5 × 2

V = 15 × 2
V = 15 × 2

V = 10 × 5 × 5
V = 10 × 5 × 5

Answer 1

To determine the volume \( V \) of a rectangular prism, you can use the formula:

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

For the given dimensions of the prism:

- Length = 10 meters
- Width = 5 meters
- Height = 2 meters

Using the formula:

\[ V = 10 \times 5 \times 2 \]

Now, let's evaluate the provided equations:

1. **V = 50 × 2**: This simplifies to \( V = 100 \), which is not using the dimensions correctly based on the formula.

2. **V = 10 × 5 × 2**: This correctly represents the volume as \( V = 10 \times 5 \times 2 = 100 \) cubic meters.

3. **V = 15 × 2**: This does not use the correct dimensions for the rectangular prism and is incorrect.

4. **V = 10 × 5 × 5**: This uses 5 as the height instead of 2, making it incorrect.

So, the only correct equation for the volume of the prism is:

**V = 10 × 5 × 2**.