Question

Do number 27 please

Answer 1

Answer:

To find the volume of this figure, we must find the base area(pentagon) and multiply it by the figure's height.

Formula for area of a pentagon:-

A = 1/2 x p x a

Where 'p' represents the perimeter, and 'a' represents the apothem.

First, let's figure out the perimeter of the base pentagon.

One side of this pentagon is 10cm, and there are 5 side lengths of 10cm to this pentagon. So it'll result in (5 x 10) = 50cm altogether.

The apothem is given, 6.9cm.

So, we plug these into our formula:-

A = 1/2 x p x a

A = 1/2 x 50 x 6.9

A = 50/2 x 6.9

A = 25 x 6.9

A = 172.5cm, is the area of the pentagon.

Now we find the height of this figure and multiply it by the base area we've found(pentagon).

Our height is 17cm.

172.5(17)

= 2,932.5 cubic centimetres, is our volume.