Question

What is the volume of the prism below?

A prism has a length of 1, height of 1 and three-fourths, and width of 2.
2 and three-fourths units3
3 and one-half units3
5 units3
8 units3

Answer 1

To find the volume of a prism, we use the formula:

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

In this case, we need to identify the height, length, and width of the prism.

From your description:
- Length = 1 unit
- Height = 1 and three-fourths units = \(1.75\) units
- Width = 2 units

The volume of the prism would then be calculated as follows:

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

Substituting the values we have:

\[
\text{Volume} = 1 \times 2 \times 1.75
\]
\[
\text{Volume} = 2 \times 1.75
\]
\[
\text{Volume} = 3.5 \text{ cubic units}
\]

Now, let's convert \(3.5\) into a fraction:

\[
3.5 = 3 \frac{1}{2}
\]

So, the volume of the prism is \(3\) and one-half cubic units.

Thus, the answer is:

**3 and one-half units³**