A rectangular prism has a length of 6 feet, a height of 15 feet, and a width of
6 feet. What is its volume, in cubic feet?

Question

A rectangular prism has a length of 6 feet, a height of 15 feet, and a width of 6 feet. What is its volume, in cubic feet?

UpStudy AI · Accepted 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 rectangular prism:
- Length = 6 feet
- Width = 6 feet
- Height = 15 feet

Substituting these values into the formula:

$$
\text{Volume} = 6 \, \text{feet} \times 6 \, \text{feet} \times 15 \, \text{feet}
$$

Calculating this step-by-step:

1. First, calculate the area of the base (Length × Width):
   $$
   6 \times 6 = 36 \, \text{square feet}
   $$

2. Then, multiply the area of the base by the height:
   $$
   36 \, \text{square feet} \times 15 \, \text{feet} = 540 \, \text{cubic feet}
   $$

Thus, the volume of the rectangular prism is

$$
\boxed{540} \, \text{cubic feet}.
$$
The volume of the rectangular prism is 540 cubic feet.

Upstudy AI Solution