Volume of Rectangular Prisms MC)

A coach needs to fill a rectangular container with water to have available for karate practice. If the dimensions of the container are 30 inches by 22 inches by 20.8 inches, what is the maximum amount of water that the rectangular container will hold?

1,741.6 in3
3,483.2 in3
6,864 in3
13,728 in3

1 answer

To find the maximum volume of a rectangular prism (in this case, the container) we use the formula:

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

Given the dimensions of the container are:

  • Length = 30 inches
  • Width = 22 inches
  • Height = 20.8 inches

Substituting these values into the formula:

\[ \text{Volume} = 30 , \text{in} \times 22 , \text{in} \times 20.8 , \text{in} \]

Calculating step-by-step:

  1. First, calculate the area of the base (length × width):

\[ 30 \times 22 = 660 , \text{in}^2 \]

  1. Next, calculate the volume by multiplying the area by the height:

\[ 660 , \text{in}^2 \times 20.8 , \text{in} = 13,728 , \text{in}^3 \]

Thus, the maximum amount of water that the rectangular container can hold is

\[ \boxed{13,728 , \text{in}^3} \]