Question

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

Answer 1

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 2

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.