The figure shows the measurements, in inches of a rectangular prism.

8 inches, 12 inches, 7 inches

what is the volume of the prism

92 cubic inches
236 cubic inches
471 cubic inches
672 cubic 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 are 8 inches, 12 inches, and 7 inches, we can calculate the volume as follows:

\[ \text{Volume} = 8 , \text{inches} \times 12 , \text{inches} \times 7 , \text{inches} \]

Now, let's do the multiplication step-by-step:

  1. Multiply the first two dimensions: \[ 8 \times 12 = 96 , \text{square inches} \]

  2. Now, multiply that result by the third dimension: \[ 96 \times 7 = 672 , \text{cubic inches} \]

Therefore, the volume of the prism is 672 cubic inches.