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

1 answer

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:

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