Question

Each cube in this figure measures 1 centimeter on each side.

What is the volume of this figure?

Responses

17 cm³
17 cm³

48 cm³
48 cm³

134 cm³
134 cm³

144 cm³
144 cm³
A rectangular prism made up of unit cubes. There are 3 layers, and each layer is 6 units long and 8 units wide.

Answer 1

To find the volume of the figure, we can use the formula for the volume of a rectangular prism, which is:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

In this case, we know the following:

- **Length** = 6 cm
- **Width** = 8 cm
- **Height** = Number of layers = 3

Now we can calculate the volume:

\[
\text{Volume} = 6 \, \text{cm} \times 8 \, \text{cm} \times 3 \, \text{cm}
\]

Calculating this gives:

\[
\text{Volume} = 6 \times 8 = 48 \, \text{cm}^2
\]
\[
\text{Volume} = 48 \times 3 = 144 \, \text{cm}^3
\]

Thus, the volume of the figure is \( \boxed{144 \, \text{cm}^3} \).