Question

. How many 4ʹ × 8ʹ sheets of plywood are required to cover a floor that is 9 m by 16 m?

Answer 1

First, we find the area of the floor in square meters.

9 m * 16 m = 144 m^2

Now we convert the square meters to square feet.

144 m^2 * (1 ft)/(0.3048 m) * (1 ft)/(0.3048 ft) = 1550.0031 ft^2

Now we find the area of a 4' by 8' sheet of plywood in square feet.

4 ft * 8 ft = 32 ft^2

Now we divide the area of the floor by the area of a plywood sheet.

(1550.0031 ft^2)/(32 ft^2) = 48.44 sheets.

That means you need to buy 49 sheets.

Answer 2

1' = 0.3048 m.

4' by 8' = 4*0.3048 m by 8*.3048 m = 1.2192 m by 2.4384 m

The area of a sheet of plywood is (1.2192 m)·(2.4384 m) = 2.97289728 m².

The area of the floor is (9 m)·(16 m) = 144 m².

Dividing floor area by sheet area gives us the number of sheets required.

... (144 m²)/(2.97289728 m²) ≈ 48.44 . . . . sheets

That is, 49 sheets of plywood are required.

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Due to the mismatch of dimensions, considerable cutting and fitting will be required.