Find the volume of iron required to make an open box of outer dimensions 60cm x 45cm x 32cm, the thickness of wood being 2.5 cm all around.
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Solution :-
Outer dimensions = 60 × 45 × 32
Thickness of wood = 2.5cm
l = 60 - 2 (2.5) = 55cm
b = 45 - 2(2.5) = 45cm
h = 32 - 2(2.5) = 27cm
∴ The capacity of the box
➻ l×b×h = ( 55 × 40 × 27)cm³
➻ 59400cm³
Total volume of box = L × B × H
➻ (60 × 45 × 32)cm³
➻ 86400cm³
∴ Volume of wood used =Total volume - Actual capacity
➻ 86400 - 59400
➻ 27000cm³
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