Leon asked in Science & MathematicsMathematics · 8 years ago

# occupational math problem.?

The four sidewalls of a room 14 feet 6 inches wide and 17 feet 8 inches long are paneled to a height of 5 feet 6 inches. A deduction of 27 square feet is made for door and window openings in the room. How many Square feet of wall surface are covered ?........I'm using the formula LxWxH.

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• Josh K
Lv 6
8 years ago

LWH is the formula for a volume.

Think about it. Each of the above values will have length units attatched to it.

Say inches.

Then your result must be in cubic inches or in^3

Surface area is measured in square length units.

Surface area of a rectangular box is

LW for the bottom, LW for the top

LH each for the front and back

WH feach for the left and right

So for an entire rectangular box, the formula for surface area is

2LW + 2LH + 2WH or 2(LW + LH + WH)

Here, you don't need all of these terms though, as you are only using sidewalls (left, right, front, and back)

Also, you need to take away the areas for doors and windows as well.

That should straighten you out.

Another helpful tip... Convert all of the lengths to single units to simplify the calculations.

14 ft 6 in = 14.5 ft OR 174 inches, either one. But make sure ALL lengths are in that same unit before calculating.

Good luck.

• 8 years ago

Covered surface =2*W*H +2*L*H - Deduction

=2*(29/2)*(11/2) +2*(53/3)*(11/2) - 27

= 159.5+194.33333333333333 -27

=326.83333333333333 sq. feet ............Ans