Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of
paint covers 50 square feet.
How many pints of paint does Mike need to buy in order to paint 4 boxes?
9 pints
7 pints
6 pints
5 pints
2 answers:
The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.
How many pints is needed?
The first step is determine the total surface area of a box.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft
The second step is to determine the total surface area of 4 boxes:
111.5 x 4 = 446
Now, divide 446 by 50
446 / 50 = 9 pints
Answer:
Step-by-step explanation:
The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.
Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:
= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)
= 100.88 square feet
4 boxes will have a total surface area of
100.88*4
= 403.52 square feet
Each pint of paint covers 50 square feet so a total of
403.52/50 = 8.07 or
9 pints is needed.
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