The sum of length, breadth and height of a cuboid is 22 cm and length of its body diagonal is 14 cm. If S is the sum of cubes of dimensions of the cuboid and V is the volume, then (S−3V) will be…
Question and options
The sum of length, breadth and height of a cuboid is 22 cm and length of its body diagonal is 14 cm. If S is the sum of cubes of dimensions of the cuboid and V is the volume, then (S−3V) will be equal to
- 572 cm³
- 728 cm³
- 984 cm³
- 1144 cm³
Answer and explanation
Correct answer: D - 1144 cm³
S - 3V = (l+b+h)(l^2+b^2+h^2 - (lb+bh+hl)) = 22 x (196 - 144) = 22 x 52 = 1144.
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