Question
The dimensions of a cuboidal box are in the ratio 3:2:1.
If the total volume of the box is 546.75 cmÂł, determine its lateral surface area.Solution
Let the length, breadth and height of box be '3a', '2a' and 'a' cm respectively.
So, 3a X 2a X a = 546.75
Or, 6a 3 Â = 546.75
Or, a 3 Â = 91.125
Or, 'a' = 4.5
Length of box = 3 X 4.5 = 13.5 cm
Breadth of box = 2 X 4.5 = 9 cm
Height of box = 4.5 cm
Lateral surface area of box = 2 X (length + breadth) X height
= 2 X (13.5 + 9) X 4.5 = 9 X 22.5 = 202.5 cm 2
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