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Can you help me find the surface area of this prism?

Can you help me find the surface area of this prism?-example-1
User XAMlMAX
by
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1 Answer

24 votes
24 votes

Answer:

To find the surface area of this parallelepiped, we need to know how to find the area of a regular parallelogram.

Formula for area of a parallelogram;

A = BH

Where b represents the base, and h displays as the height.

Once, we know how to find the area of a parallelogram, we find the areas of the three different sides of this figure and multiply it by two since opposite sides have an equal area.

Now we find the area of the front parallelogram:

A = BH

Plug in our values;

A = 4(2)

A = 8, and since opposite sides are equal:-

8(2) = 16, is the area of both the front and back parallelograms.

Now the top and bottom bases of this parallelepiped.

But, to find the height and base of this, we transfer the base of the front parallelogram and the base of the right parallelogram. So our base and height is 4.

A = BH

Plug in our values;
A = 4(4)

A = 16, and since opposite sides are equal:-

16(2) = 256, is the area for both the upper and bottom bases.

Now for the right and left parallelograms;

A = BH

Plug in our values;

A = 4(2.5)

A = 10, since opposite sides are equal:-

10(2) = 20, is the area of both the right and left parallelograms.

Now we add all the areas together:

16 + 256 + 20

= 292 square meters.

User FidEliO
by
2.7k points
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