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The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company save by choosing to make 50 of Box 2 instead of Box 1?

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The material used to make a storage box costs 125 per square foot The boxes have the same volume so how much does a company save by choosing to make 50 of Box 2 class=

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Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of both boxes.

Surface area (A) = 2wl + 2lh + 2hw,

Where w is width, l is length , and h is height.

  • Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
  • Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2

Since 1 inch = 0.0833333 foot

  • Box 1 = 448 in2 x 0,0833333 =37.34 ft2
  • Box 2= 424 in2 x 0,0833333 =35.19 ft2

Since the material used to make a storage box costs $1.25 per square foot.

  • Box 1 =37.34 ft2 x1.25 = $ 46.675
  • Box 2= 35.19 ft2 x 1.25 =$43.98

Since 50 of each are made:

  • Box 1 = $ 46.675 x50 =2,333.750
  • Box 2= $43.98 x50 =2,199.37

Subtracting both costs:

2,333.750(1) - 2,199.37(2) = $134.38

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