What is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 inches?

1 answer

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

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

Given the dimensions of the prism:

  • Height = 5 inches
  • Width = 15 inches
  • Length = 2 inches

Substituting the values into the formula gives:

\[ \text{Volume} = 2 , \text{inches} \times 15 , \text{inches} \times 5 , \text{inches} \]

Now, calculate the volume step by step:

  1. Multiply the length and width: \[ 2 \times 15 = 30 , \text{square inches} \]

  2. Then multiply by the height: \[ 30 , \text{square inches} \times 5 , \text{inches} = 150 , \text{cubic inches} \]

So, the volume of the rectangular prism is:

\[ \boxed{150} \text{ cubic inches} \]