The sum of length, breadth and height of a cuboid is 22 cm and the length of its body diagonal is 14 cm. What is the surface area of the cuboid?
Question and options
The sum of length, breadth and height of a cuboid is 22 cm and the length of its body diagonal is 14 cm. What is the surface area of the cuboid?
- 288 cm²
- 244 cm²
- 216 cm²
- 144 cm²
Answer and explanation
Correct answer: A - 288 cm²
(l+b+h)^2 = l^2+b^2+h^2 + 2(lb+bh+hl): 484 = 196 + SA, so SA = 288 cm^2.
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