Question

Britany has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 14 cm, a width of 5.4 cm, and a height of 8 cm.

What is the volume of the purse?
A.
604.8 cm3
B.
561.6 cm3
C.
680.4 cm3
D.
716.8 cm3

Answer 1

To calculate the volume of a rectangular box (purse), you can use the formula:

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

Given:
- Length = 14 cm
- Width = 5.4 cm
- Height = 8 cm

Now substitute the values into the formula:

\[
\text{Volume} = 14 \, \text{cm} \times 5.4 \, \text{cm} \times 8 \, \text{cm}
\]

Calculating step by step:

1. Calculate \(14 \times 5.4\):
\[
14 \times 5.4 = 75.6 \, \text{cm}^2
\]

2. Now multiply that result by 8:
\[
75.6 \, \text{cm}^2 \times 8 = 604.8 \, \text{cm}^3
\]

Thus, the volume of the purse is:

\[
\text{Volume} = 604.8 \, \text{cm}^3
\]

The correct answer is \( \text{A.} \, 604.8 \, \text{cm}^3 \).