The surface area of a cuboid is 1300 cm². If its breadth is 10 cm and height is 20 cm², find its length.
Answers
Given : Surface area of cuboid = 1300 cm²
Breadth of cuboid ,b = 10 cm
Height of cuboid ,h = 20 cm
Let the length of the cuboid be l cm.
Surface area of cuboid = 1300 cm²
2(lb + bh + hl) = 1300
2(l × 10 + 10 × 20 + 20 × l) = 1300
(10 l + 200 + 20 l) = 1300/2
10 l + 200 + 20 l = 650
10 l + 20 l + 200 = 650
30 l = 650 - 200
30 l = 450
l = 450/30
l = 45/3
l = 15 cm
Hence, its length is 15 cm.
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Given :
- Surface area of cuboid = 1300 cm²
- Breadth of cuboid = 10 cm
- Height of cuboid = 20 cm
Let the length of the cuboid be l cm.
Formula used: surface area of cuboid =2(lb+bh+hl)
Solution:
Surface area of cuboid = 1300 cm²
2(lb + bh + hl) = 1300
2(l × 10 + 10 × 20 + 20 × l) = 1300
(10 l + 200 + 20 l) = 1300/2
10 l + 200 + 20 l = 650
10 l + 20 l + 200 = 650
30 l = 650 - 200
30 l = 450
l = 450/30
l = 45/3
l = 15 cm