Question

What is the volume of this rectangular prism?

Enter your answer in the box.

in³
A rectangular prism made up of unit cubes. There are 5 layers, and each layer is 3 units long and 7 units wide. A unit cube labeled 1 inch cubed is beside the prism.

Answer 1

To find the volume of a rectangular prism, you can use the formula:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

From your description, the dimensions of the prism are as follows:

- Length = 3 units
- Width = 7 units
- Height = 5 layers (which we can consider as the height)

Now, substituting these values into the formula:

\[
\text{Volume} = 3 \times 7 \times 5
\]

Calculating it step by step:

1. First, multiply the length and width:
\[
3 \times 7 = 21
\]

2. Then, multiply the result by the height:
\[
21 \times 5 = 105
\]

Thus, the volume of the rectangular prism is:

\[
\text{Volume} = 105 \, \text{in}^3
\]

So the final answer is:

\[
\boxed{105}
\]