Question

The pentagonal prism below has a base area of 38 units^2 and a volume of 368.6 units ^3Find its height.

Answer 1

We can see here that the height of the pentagonal prism is ≈ 9.7 units.

To find the height of the pentagonal prism, we can use the formula for the volume of a prism, which is given by:

Volume = Base area × Height

For the pentagonal prism:

Base area = 38 square units

Volume = 368.6 cubic units

Given that the base area is 38 units² and the volume is 368.6 units³, we can set up the equation using the formula for the volume of a prism and solve for the height:

368.6 = 38 × Height

Thus, height = 368.6/38 = 9.7 units.

Therefore, we see that the height of the pentagonal prism is approximately 9.7 units.

Answer 2

Answer:

The height of the pentagonal prism is 9.7 units

Step-by-step explanation:

Given:

The base of a pentagonal prism = 38 units²

The volume of the pentagonal prism = 368.6 units³

To find:

The height of the pentagonal prism

To determine the height, we will apply the volume of a pentagonal prism:

`Volume\text{ = Base area }*\text{ height}`
`\begin{gathered} 368.6\text{ = 38 }*\text{ height} \\ height\text{ = }(368.6)/(38) \\ \\ height\text{ = 9.7 units} \end{gathered}`