A barn with a flat roof is rectangular in shape, 10 metres
wide, 13 metres long and 5 metres high. It is to be
painted inside and outside, and on the ceiling, but not
on the roof or floor. Find the total area to be painted.
Answers
If the barn with dimensions 13 m x 10 m x 5 m, is to be painted inside and outside, and on the ceiling, but not on the roof or floor, then the total area to be painted is 590 m².
Step-by-step explanation:
The dimensions of the barn with a flat roof rectangular shape:
Length, l = 13 m
Breadth, b = 10 m
Height, h = 5 m
Since the rectangular barn is to be painted inside and outside and on the ceiling but not on the roof or floor, therefore,
The required area of the barn to be painted is given by,
= [2 * {Lateral Surface area of the rectangular cuboid}] + [Area of the ceiling]
= [2 * {2h(l+b)}] + [l * b]
= [2 * {2*5*(13 + 10)}] + [13 * 10]
= [20 * 23] + [130]
= 460 + 130
= 590 m²
Thus, the total area to be painted is 590 m².
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