What is the volume of this right rectangular prism?

Determine the height of the prism, then multiply the area of the base by the height to find the volume.
3D view of a rectangular prism with dimensions 2 in by 5 in by 8 in.
Area of the base, B Height of the prism, h Volume
V = B · h
10 in
2

in
in
3

1 answer

To find the volume of the right rectangular prism, we start by identifying the dimensions provided:

  • Length (l) = 5 inches
  • Width (w) = 2 inches
  • Height (h) = 8 inches

First, we calculate the area of the base (B), which is the product of the length and the width:

\[ B = l \times w = 5 , \text{in} \times 2 , \text{in} = 10 , \text{in}^2 \]

Next, we use the formula for the volume (V) of the prism:

\[ V = B \cdot h \]

Substituting the values for the base area and height:

\[ V = 10 , \text{in}^2 \times 8 , \text{in} = 80 , \text{in}^3 \]

Thus, the volume of the rectangular prism is 80 cubic inches.