Q2 of 32 Page 115

Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height are 6 unit and 5 unit respectively. What is the length of that box?

Given: Total surface area of cuboidal box (TSA) = 500 sq. unit

Breadth of cuboidal box (b) = 6 unit


Height of cuboidal box (h) = 5 unit


To find length (l) of the cuboidal box, recall total surface area of cuboid given by


TSA = 2 (lb + bh + hl)


Substituting given values in the formula, we get


500 = 2 (l×6 + 6×5 + 5×l)


⇒ 500 = 2 (6l + 30 + 5l)


⇒ 6l + 5l + 30 = 500/2


⇒ 11l + 30 = 250


⇒ 11l = 250 – 30 = 220


⇒ l = 220/11 = 20


Thus, length of the cuboidal box is 20 unit.


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