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The sum of the length breadth and depth of cuboid is 19cm and it's diagonal is 5√5 cm it's surface area is_________?

Correct answer: B. 236 Sq.cm

  • A. 125 Sq.cm
  • B. 236 Sq.cm
  • C. 361 Sq.cm
  • D. None of these

Explanation

For dimensions l, b and d, (l + b + d)2 = l2 + b2 + d2 + 2(lb + bd + dl). Here, 19 cm squared is 361 cm2 and the diagonal squared is (5√5 cm)2 = 125 cm2, so surface area = 2(lb + bd + dl) = 361 cm2 − 125 cm2 = 236 cm2. The likely wrong choice is 125 cm2, which is the square of the diagonal rather than the cuboid's surface area.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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