1.

Sum of length, breadth and height of cuboid is 12 cm and length of its diagonal is 5√2. Find the total surface area of cuboid.1). 94 cm22). 84 cm23). 72 cm24). 64 cm2

Answer»

Let the length, BREADTH and height of cuboid be l, b and H respectively

Length of diagonal = (l2 + b2 + h2)1/2 = 5√2

Total SURFACE area of cuboid = 2(LB + bh + lh)

(l + b + h) = 12

Squaring both sides

(l2 + b2 + h2) + 2(lb + bh + lh) = 144

2(lb + bh + lh) = 144 – 50 = 94 cm2


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