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Prism pen , Base som 3cm) bom 8cm 2cm 7 cm height=8m 7 find volume

Sagot :

We can put the 5-sided face downwards so that we have a pentagon-prism.

The volume of the figure will be area of base (area of pentagon) x height.

This way, the height of the figure will be 8 cm and we will find the area of the pentagon, below.

Let's find the area of the base first:

The pentagonal base can be broken down into a square (top left), a triangle (top right), and a rectangle (bottom). We find each of the areas.

• Area of Square

Side lengths are 3 cm, so the area will be:

Area = 3 x 3 = 9

• Area of Triangle

Base is 3 cm and height is 4 cm, so the area will be:

Area = (1/2) * base * height

Area = (1/2) * 3 * 4 = 6

• Area of Rectangle

Base is 7 cm and height is 2 cm, so the area will be:

Area = 7 x 2 = 14

Total Area of Pentagon = 9 + 6 + 14 = 29

Now, the Volume of the Composite Figure is:

Volume = Area of Pentagonal Base * Height

Volume = 29 * 8

Volume = 232 cubic centimeters

Answer

Volume = 232 cubic centimeters

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