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Question
Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?
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Solution
Let the length of the box be l unit.
Breadth of the box, b = 6 units
Height of the box, h = 5 units
Total surface area of the box = 500 square units
∴ 2(lb+ bh + hl) = 500 square units
⇒ l x 6 + 6 x 5 + 5 x l = `500/2`
⇒ 6l + 30 + 5l = 250
⇒ 11 l = 250 - 30
⇒ 11 l = 220
⇒ l = `220/11`
⇒ l = 20 units
Thus, the length of the box is 20 units.
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