The surface area of a cuboid is 1300 cm². If its breadth is 10 cm and height is 20 cm, find its length.

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Solution

Surface area of a cuboid = 1300 cm²
Breadth (b) = 10 cm
and height (h) = 20 cm
Let l be the length, then
= 2 (lb + bh + hl) = 1300
lb+ bh + hl = 1300/2 = 650
l x 10 + 10 x 20 + 20 x l = 650
10l + 20l + 200 = 650
⇒ 30l = 650 – 200 = 450
⇒ l = 450/30 = 15
∴ Length of cuboid = 15 cm.

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