Question

Find the volume of the prism. Round to the nearest tenth if necessary.

Answer 1

The volume of the solid represented by the prism is 140.4 cubic meters

How to find the volume of the solid

From the question, we have the following parameters that can be used in our computation:

The solid figure

The volume of the solid is calculated as

Volume = Base area * Height

Using the above as a guide, we have the following:

Volume = 1/2 * 6 * 5.2 * 9

Evaluate

Volume = 140.4

Hence, the volume of the solid is 140.4 cubic meters

Answer 2

The volume of a prism = the area of the base × the prism's height

`V=Bh`

Our base is a triangle, which has this area formula:
The area of a triangle = 1/2 × the triangle's base × the triangle's height

`A=\frac12bh`

Let's plug in 6 for the base of our triangle and 5.2 for its height.

`A=\frac12*6*5.2`
Crunch some numbers...

`A=15.6`

Now that we know the area of the base, let's find the volume of our prism.

`V=Bh`
Let's plug in 15.6 for the area of the base and 9 for the height of the prism.

`V=15.6*9`
Crunch some more numbers...

`V=140.4`
Remember to add your units!


`\boxed{V=140.4\ m^3}`