Question

Find the volume of each figure.Round your answers to the nearesthundredth, if necessary.A) 118 km^3B) 136 km^3C) 150 km^3D) 107 km^3

Answer 1

Ok, so

We have to find the volume of that prism.

For this, we have to identify the area of the base and the height.

The volume of a prism is given by the next equation:

Volume = (area of the base) * Height.

So, let me draw the base to make it clearly.

So, this is the base of the prism, which is a triangle.

We know that the area of the triangle can be found using this:

A = (base*height) / 2

If we replace:

A = (10*3)/2, and this is 15km^2.

Now, we have to multiply this area by the height of the figure given. This height is 10 km.

Then, the volume of the figure will be:

V = 15km^2 * 10km^2, which is equal to 150km^3

So the answer, is