Question 8 of 8 - Volume of Prisms
Question 8
A triangular prism has a width of 9 meters and volume of 378 cubic meters. What is the area of the base of the prism?

To find the area of the base of a triangular prism, you can use the formula for volume: . Here, the volume is 378 cubic meters and the width (or height, depending on how you’ve oriented the prism) is 9 meters. So, you can rearrange the formula to find the base area:

Thus, the area of the base of the prism is .

When working with prisms, it’s important to visualize them in three-dimensional space. Imagine building with blocks, where the volume is how much you can fit inside. Common mistakes include mixing up dimensions or forgetting that the base area must reflect the shape of the base, not just a rectangular area if it’s triangular! So keep your toolbox of formulas handy and shoot for that correct shape!