Question

#11. You are a contractor whose job description requires you to calculate the volume of a storage container: length is 28' 6", its width is 6' 9"and its height is 7 feet. Round to the nearest whole number.

Answer 1

To calculate the volume of a storage container, we can use the formula for the volume of a rectangular prism:

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

First, we need to convert all dimensions to a consistent unit, typically feet.

**Step 1: Convert the dimensions to feet.**

- Length: 28 feet 6 inches
- Convert inches to feet: \(6 \text{ inches} = \frac{6}{12} \text{ feet} = 0.5 \text{ feet}\)
- Total Length = \(28 + 0.5 = 28.5 \text{ feet}\)

- Width: 6 feet 9 inches
- Convert inches to feet: \(9 \text{ inches} = \frac{9}{12} \text{ feet} = 0.75 \text{ feet}\)
- Total Width = \(6 + 0.75 = 6.75 \text{ feet}\)

- Height: 7 feet (already in feet)

**Step 2: Calculate the volume.**

Now we can substitute the values into the volume formula:

\[
\text{Volume} = 28.5 \text{ feet} \times 6.75 \text{ feet} \times 7 \text{ feet}
\]

Calculating step by step:

1. Multiply length by width:
\[
28.5 \times 6.75 = 192.1875 \text{ square feet}
\]

2. Multiply the result by height:
\[
192.1875 \times 7 = 1345.3125 \text{ cubic feet}
\]

**Step 3: Round to the nearest whole number.**

Rounding \(1345.3125\) gives us \(1345\).

Thus, the volume of the storage container is approximately **1345 cubic feet**.