Question

What is the volume of the prism shown below?

A prism has a length of 4 centimeters, height of 1 and one-fourth centimeters, and width of 2 centimeters.
8 cm³
10 cm³
12 cm³
16 cm³

Answer 1

To find the volume of a prism, you can use the formula:

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

From the given dimensions:
- Length (L) = 4 cm
- Width (W) = 2 cm
- Height (H) = \( 1 \frac{1}{4} \) cm, which is \( 1.25 \) cm in decimal form.

Now, plug in the values into the volume formula:

\[
\text{Volume} = 4 \, \text{cm} \times 2 \, \text{cm} \times 1.25 \, \text{cm}
\]

Calculating step by step:

1. Calculate \( 4 \times 2 = 8 \, \text{cm}^2 \)
2. Now multiply by \( 1.25 \):

\[
8 \, \text{cm}^2 \times 1.25 = 10 \, \text{cm}^3
\]

Thus, the volume of the prism is \( \boxed{10 \, \text{cm}^3} \).