Question

Here is what the base of a prism looks like. What is the area of the base?
Overhead view of a prism with an irregular base.
Area of
the base Height of
the prism Volume
7cm
2cm
5cm
6cm
2cm



cm2 ? cm ? cm3

Answer 1

To find the area of the base of the prism, we need to identify the shape of the base from the description you provided. However, with only the dimensions given (7 cm² for the area), it seems that the area is already provided.

If you are asking for specific calculations related to the volume or the height using the area of the base, we can use the formula for the volume of a prism:

\[
\text{Volume} = \text{Area of the base} \times \text{Height}
\]

From your provided values:
- Area of the base = \( 7 \, \text{cm}^2 \)
- Height of the prism = \( 5 \, \text{cm} \)
- Volume = \( \text{Area of the base} \times \text{Height} = 7 \, \text{cm}^2 \times 5 \, \text{cm} \)

Calculating the volume:

\[
\text{Volume} = 7 \, \text{cm}^2 \times 5 \, \text{cm} = 35 \, \text{cm}^3
\]

Thus:
- The area of the base is \( 7 \, \text{cm}^2 \).
- The height of the prism is \( 5 \, \text{cm} \).
- The volume of the prism is \( 35 \, \text{cm}^3 \).