A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be painted.
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Answer:
A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be painted.
Given :
Length of cuboid (l) = 1 m
Breadth of cuboid (b) = 2 m
Height of cuboid (h) = 1.5 m
To Find :
Area of the box that has to be painted.
Some important formulae :
Total surface area of cuboid = 2(lb+bh+hl)
Lateral surface area of cuboid = 2h(l+b)
Solution :
Area of bottom of cuboid = l×b
= 1×2
= 2 m²
And,
Total surface area = 2(lb+bh+hl)
= 2(1×2+2×1.5+1.5×1)
= 2(2+3+1.5)
= 2×6.5
= 13 m²
According to the question the bottom of the box is not painted, then
Area of box painted = (Total surface area - bottom area)
Area of box painted = (13 - 2) m² = 11 m².
- Therefore, 11 m² of area of box is painted.
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Answer:
A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be painted.
TO FIND :
The area of box is painted.
SOLUTION :
Length of the box, l = 2 m,
Breadth of box, b = 1 m
Height of box, h = 1.5 m
We know that the surface area of a cuboid. = 2(lb + lh + bh)
But here the bottom part is not to be painted.
So,
Surface area of box to be painted = lb + 2(bh + hl)
= 2 × 1 + 2 (1 × 1.5 + 1.5 × 2)
= 2 + 2 (1.5 + 3.0)
= 2 + 9.0
= 11
Hence, the required surface area of the cuboidal box = 11 m².
FINAL ANSWER :
The area of the painted box is 11m².
Hope it helps you...