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(1/2)bh+b2 , where b , the base of the pyramid, is 3 in. and h , the height of the pyramid, is 8 in.
To find the surface area of the pyramid, we will use the formula:
Surface Area = 4(1/2)bh + b^2
Given:
b = 3 in.
h = 8 in.
Substituting the values into the formula, we get:
Surface Area = 4(1/2)(3)(8) + (3^2)
Surface Area = 4(1/2)(3)(8) + 9
Surface Area = 12(8) + 9
Surface Area = 96 + 9
Surface Area = 105 in^2
Therefore, Leonard will need 105 square inches of cardboard for the pyramid.
To find the number of square inches of cardboard Leonard will need for the pyramid, we can use the formula for the surface area of a pyramid. The formula is 4(1/2)bh + b^2, where b is the base of the pyramid and h is the height of the pyramid.
Given that the base of the pyramid, b, is 3 inches and the height, h, is 8 inches, we can substitute these values into the formula.
Surface Area of Pyramid = 4(1/2)bh + b^2
= 2bh + b^2
Substituting the values:
Surface Area of Pyramid = 2(3)(8) + 3^2
= 2(24) + 9
= 48 + 9
= 57 square inches
Therefore, Leonard will need 57 square inches of cardboard for the construction of the pyramid.
To find the number of square inches of cardboard Leonard will need, we can use the formula for the surface area of a four-sided pyramid:
Surface Area = 4(1/2)bh + b^2
Where:
- b is the base of the pyramid
- h is the height of the pyramid
In this case, b = 3 inches and h = 8 inches. Let's substitute these values into the formula and calculate the result.
Surface Area = 4(1/2)(3)(8) + (3)^2
Surface Area = 4(1/2)(24) + 9
Surface Area = 2(24) + 9
Surface Area = 48 + 9
Surface Area = 57 square inches
Therefore, Leonard will need 57 square inches of cardboard to construct the pyramid.