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A playhouse is in the shape of a square pyramid with a side length of 6 feet and a slant height of 12 feet.

The wood used to build the walls of the playhouse costs $3 per square foot. What is the cost of the wood for the walls of the playhouse?

Verified Answer :

UmbrellaPower

We just did these problems in my math class today! Ok, so you need to find the lateral surface area, or the area of the faces/walls. The formula for triangles is
1/2 • base • height. Sub in the #s, it would be 1/2 • 6 • 12
1/2•72
36
So now we know the area of one of the faces is 36inches^2, we can multiply that by 4, which is 144. 144•3($)= $432. To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face!(I know, it rhymes) Hope this helps!!!

To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face.

We need to find the lateral surface area or the area of the faces/walls.

What is the formula for the area of the triangle?

The formula for triangles is

Area of the traingle=1/2 • base • height.

Use the given values in above formula

A=1/2 • 6 • 12

A=1/2•72

A=36

So now we know the area of one of the faces is 36inches^2

We can multiply that by 4, which is 144.

144•3($)= $432.

To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face.

To learn more about the triangle visit:

https://brainly.com/question/17335144

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