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

Question

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 \( \boxed{144 , \text{cm}^3} \).