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Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2) of cardboard he will...Question
Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2) of cardboard he will need. Use 4(12)bh+b2 , where b , the base of the pyramid, is 3 in. and h , the height of the pyramid, is 8 in.(1 point)
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Answers
GPT 3.5
To find the total surface area of the pyramid, we need to find the area of each face and then sum them up.
The base of the pyramid is a square with side length 3 in. So, the area of the base is 3 in. * 3 in. = 9 in^2.
Since the pyramid has a height of 8 in, its four triangular faces have a base of 3 in and a height of 8 in. Therefore, the area of each triangular face is (1/2) * 3 in. * 8 in. = 12 in^2.
Now we can find the total surface area by adding the area of the base and the four triangular faces: 9 in^2 + 4 * 12 in^2 = 9 in^2 + 48 in^2 = 57 in^2.
Thus, Leonard will need 57 square inches of cardboard for the pyramid.
The base of the pyramid is a square with side length 3 in. So, the area of the base is 3 in. * 3 in. = 9 in^2.
Since the pyramid has a height of 8 in, its four triangular faces have a base of 3 in and a height of 8 in. Therefore, the area of each triangular face is (1/2) * 3 in. * 8 in. = 12 in^2.
Now we can find the total surface area by adding the area of the base and the four triangular faces: 9 in^2 + 4 * 12 in^2 = 9 in^2 + 48 in^2 = 57 in^2.
Thus, Leonard will need 57 square inches of cardboard for the pyramid.