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*Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. 8 12 12

*Marie made a model (shown below) of the square pyramid she plans to build when she-example-1
User Petershine
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2 Answers

4 votes

Answer:

336m^2

Explanation:

The triangle area is half of base times height so: 1/2*8*12=48m^2

There are 4 triangles so 48*4=192

Then the square base area is side times side so: 12*12=144m^2

Then surface area of model is 192m^2+144m^2=336m^2

User SimonPJ
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5.8k points
4 votes

Answer:

336 m²

Explanation:

We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.

Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation
(b \cdot h)/(2).


(12 \cdot 8)/(2)


(96)/(2)

48.

So, one side of this is 48. Multiplying it by 4 gets us 192.

Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.

Now let's add these numbers:

192+144 = 336

So, 336 m² is what this comes out to.

Hope this helped!

User XiB
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6.5k points