SOLUTION: How many square feet of wood are needed to build a cabinet that is 2 feet 3 inches tall, 1 foot 4 inches deep and 1 foot 4 inches wide? (Assume that wood is needed for all six sur

Question 860543: How many square feet of wood are needed to build a cabinet that is 2 feet 3 inches tall, 1 foot 4 inches deep and 1 foot 4 inches wide? (Assume that wood is needed for all six surfaces. Round to the nearest square foot.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The height, in inches, is 27 inches,
because 2 feet + 3 inches = 2(12 inches) + 3 inches = 24 inches + 3 inches = 27 inches.
The bottom and top (bases are square pieces 1 foot 4 inches by 1 foot 4 inches.
Those are squares with 16-inch sides.
(1 foot + 4 inches = 12 inches + 4 inches = 16 inches).
The surface area of each square base is

The perimeter of the base is
,
and the surface of the 4 vertical sides that are 27-inches tall is

.
So the total surface area for all six surfaces, in square inches, is
.
Since each square foot is

is
square feet.
That is about square feet,
so rounded to the nearest square foot it would be
square feet.
Of course, you would need more wood than that, because there is always a lot of waste when you try to cut shapes out any piece of material (wood, cloth, or whatever).

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