Question

Tamara stacked two cubes, as shown.

2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches.

What is the total volume of the cubes?

1st cube volume:

V = Bh

V = (12)(12)(12)

2nd cube volume

V = Bh

V = (24)(24)(24)

The total volume of the cubes is
cubic inches.

Answer 1

To find the total volume of the two stacked cubes, we need to calculate the volume of each cube separately and then add them together.

1. **Volume of the first cube (12 inches side length):**
\[
V_1 = s^3 = 12^3 = 12 \times 12 \times 12
\]
\[
V_1 = 144 \times 12 = 1728 \text{ cubic inches}
\]

2. **Volume of the second cube (24 inches side length):**
\[
V_2 = s^3 = 24^3 = 24 \times 24 \times 24
\]
\[
V_2 = 576 \times 24 = 13824 \text{ cubic inches}
\]

3. **Total volume of the cubes:**
\[
\text{Total Volume} = V_1 + V_2 = 1728 + 13824
\]
\[
\text{Total Volume} = 15552 \text{ cubic inches}
\]

Therefore, the total volume of the two stacked cubes is **15552 cubic inches.**