In cubic feet, what is the volume of a toy box measuring 334 feet long, 212 feet wide, and 212 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.(1 point) ft.3

1 answer

To find the volume of a rectangular box, we use the volume formula:

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

Given the dimensions of the toy box:

  • Length = 334 feet
  • Width = 212 feet
  • Height = 212 feet

Now, we substitute the values into the formula:

\[ \text{Volume} = 334 \times 212 \times 212 \]

Calculating step-by-step:

  1. First, calculate \( 212 \times 212 \):

\[ 212 \times 212 = 44944 \]

  1. Next, multiply that result by 334:

\[ 334 \times 44944 = 15007616 \]

So, the volume of the toy box is:

\[ 15007616 \text{ cubic feet} \]

To express this as a mixed fraction, note that \( 15007616 \) is a whole number, and since it does not contain any fractional part, it can simply be expressed as:

\[ 15007616 \frac{0}{1} \]

Thus, the final answer in cubic feet is:

\[ \text{Volume} = 15007616 \text{ ft}^3 \]