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(I need help for this quickly!!) How do you find the surface area of this? Please explain clearly, thank you!

(I need help for this quickly!!) How do you find the surface area of this? Please-example-1
User Roman Nazarkin
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1 Answer

17 votes
17 votes

Answer:

84in²

Explanation:

What is surface area?

Surface area is the area that covers the outside of a three dimensional object.

Here, we are trying to find the surface area of a square pyramid which consists of 4 triangles and a square. The surface area would be the sum of the areas of those shapes as that is what covers the outside of the square pyramid.

Finding the surface area.

Finding the area of the square :

Area of a square = s² where s = side length of square.

Here, it appears that the side length of the square has a measure of 6 in

So area = 6² = 6 × 6 = 36in²

Finding the area of the 4 triangles

Area of a triangle = bh/2 where b = base length and h = height

Here, the triangle shares its base length with the side length of the square so the base length or "b" = 6. The height or "h" is 4.

So we have A = bh/2

==> plug in b = 6 and h = 4

A = (6)(4)/2

==> multiply 6 and 4

A = 24/2

==> divide 24 by 2

A = 12

There are 4 triangles so we multiply the area of 1 triangle by 4 to get the area of all the triangles

Area of all triangles = 12 × 4 = 48

Finally we add the two areas together to get the total surface area

Area of square = 36

Area of triangles = 48

Total surface area = 36 + 48 = 84in²

User Martin Godzina
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