A prism has a height of 6 cm and a base of 45 cm2 . What is the volume of the prism?Select one:a.1250 cm3b.725 cm3c.270 cm3d.550 cm3

1. Break Down the Problem

To find the volume $V$ of a prism, we can use the formula:
$V = \text{Base Area} \times \text{Height}$ In this case, we have:

• Height $h = 6$ cm
• Base Area $A = 45$ cm$^2$

2. Relevant Concepts

The volume of a prism can be computed directly from its base area and height.

3. Analysis and Detail

Substituting the known values into the formula, we have: $V = 45 \, \text{cm}^2 \times 6 \, \text{cm}$ Calculating the volume: $V = 270 \, \text{cm}^3$

4. Verify and Summarize

We calculated the volume based on the given dimensions correctly. The base area and height were properly utilized in the formula.

Final Answer

The volume of the prism is $\boxed{270 \, \text{cm}^3}$. Thus, the correct option is c. 270 cm³.