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18. Write a formula to estimate the amount of material required to cover Firm 2's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)

18 Write A Formula To Estimate The Amount Of Material Required To Cover Firm 2s Structure Not Including The Floor Explain Your Reasoning 2 Points 1 For The Form class=
18 Write A Formula To Estimate The Amount Of Material Required To Cover Firm 2s Structure Not Including The Floor Explain Your Reasoning 2 Points 1 For The Form class=
18 Write A Formula To Estimate The Amount Of Material Required To Cover Firm 2s Structure Not Including The Floor Explain Your Reasoning 2 Points 1 For The Form class=

Sagot :

Data: Firm 2's structure is a pyramid with a square base.

To find the amount of material required to cover this structure (not including the floor) you find the surface area of the sides of a pyramid with a square base: 4 triangles with the same measures.

The area of a triangle is:

[tex]A=\frac{1}{2}b\cdot h[/tex]

Then, the area o the structure (not including the floor) is the sum of the area of each triangle. As there are 4 triangles the area is 4 times the area of a triangle:

[tex]A_P=4(\frac{1}{2}b\cdot h)[/tex]