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Viktor [21]
2 years ago
6

Yolanda makes wooden boxes for a crafts fair, She makes 100 boxes like the one shown, and she wants to paint all the outside fac

es.
A. Find the surface area of 100 boxes

B. One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?

L = 10

W = 6

H = 4
Mathematics
1 answer:
Gemiola [76]2 years ago
6 0

A box has 4 sides, two short sides which are width by height and two long sides which is length by height.

A) Surface area = 2(LxH) + 2(WxH)

Surface area = 2(10x4) +2(6x4)

Surface area = 2(40) +2(24)

Surface area = 80 + 48

Surface area = 128 square inches for each box.

128 square inches x 100 boxes = 12,800 square inches.

B) 1 can covers 14,000 square inches which is greater then the total of the 100 boxes, so she will need to buy 1 can of paint.

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A. Independent variable

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Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

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Since we are given our directrices of x=\pm3 and foci of (\pm4,0), then we can set up the directrices equation to solve for a^2:

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