Question

In a hotel, there is a rectangular safe in the closet that is 40 cm wide, 20 cm deep, and 30 cm tall. Next to the safe, there’s a rectangular drawer with a digital lock. The drawer is 30 cm wide, 25 cm deep, and 20 cm tall. What is the total volume of space for hotel guests to put
their valuables?

A.
9,000 cm3

B.
15,000 cm3

C.
24,000 cm3

D.
39,000 cm3

Answer 1

To find the total volume of space for hotel guests to put their valuables, we need to calculate the volume of the safe and the volume of the drawer, and then add them together.

1. **Volume of the safe:**
\[
\text{Volume} = \text{width} \times \text{depth} \times \text{height}
\]
For the safe:
\[
\text{Volume}_{\text{safe}} = 40 \, \text{cm} \times 20 \, \text{cm} \times 30 \, \text{cm} = 24,000 \, \text{cm}^3
\]

2. **Volume of the drawer:**
For the drawer:
\[
\text{Volume}_{\text{drawer}} = 30 \, \text{cm} \times 25 \, \text{cm} \times 20 \, \text{cm} = 15,000 \, \text{cm}^3
\]

3. **Total volume:**
Now, add the volumes of the safe and the drawer:
\[
\text{Total Volume} = \text{Volume}_{\text{safe}} + \text{Volume}_{\text{drawer}} = 24,000 \, \text{cm}^3 + 15,000 \, \text{cm}^3 = 39,000 \, \text{cm}^3
\]

Therefore, the total volume of space for hotel guests to put their valuables is **39,000 cm³**.

The answer is **D. 39,000 cm³**.