Question

A rectangular prism has a length of 6in, a height of 10in, and a width of 11in. What is its volume, in cubic in?

Answer 1

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

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

In this case, the dimensions of the rectangular prism are:

- Length = 6 inches
- Width = 11 inches
- Height = 10 inches

Now, substituting these values into the formula:

\[
V = 6 \, \text{in} \times 11 \, \text{in} \times 10 \, \text{in}
\]

Calculating this step-by-step:

1. Multiply the length and width:
\[
6 \, \text{in} \times 11 \, \text{in} = 66 \, \text{in}^2
\]

2. Now multiply the result by the height:
\[
66 \, \text{in}^2 \times 10 \, \text{in} = 660 \, \text{in}^3
\]

Thus, the volume of the rectangular prism is:

\[
\boxed{660} \text{ cubic inches}
\]