So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.
What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.
Formula for area of a square: length × width
Formula for area of a triangle: (base × height) ÷ 2
First we will find the area of the base:
l × w = A
(Write out formula)
8 × 8 =
(Input values)
A = 64 m^2 (square meters or meters squared)
(We have our answer, dont forgot to write your units.)
So we've figured out the area of the base. Now onto the triangles:
(b×h) ÷ 2 = A
(Write out formula)
(8 × 6) ÷ 2 =
(Input values)
48 ÷ 2 =
(Use PEMDAS to solve this correctly. We did whatever was in the parenthesis first, which was multiplication.)
A = 24m^2 (square meters or meters squared)
(We have our answer.)
Now we've found the area of the base of the pyramid and one of the sides of the pyramid, but we're almost done! There's four sides to the pyramid, they're all the same. So since we found the area for one, we can multiply that by 4 to find the area of all sides added together:
24 × 4
(area of a side × total sides)
= 96m^2
All that's left is adding the 96 to the area of the base to get our total surface area of the pyramid:
96 + 64 = 160
The surface area of the pyramid is 160m^2(square meters or meters squared)
(Hope this helps :) )
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