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If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively?

Correct answer: D. 90, 75,60

  • A. 90, 85, 60
  • B. 85, 75, 60
  • C. 90, 75, 70
  • D. 90, 75,60

Explanation

Let the dimensions be 6x cm, 5x cm and 4x cm. The total surface area is 2(6x x 5x + 5x x 4x + 4x x 6x) cm2 = 148x^2 cm2, so x^2 = 33300/148 = 225 and x = 15 cm. Therefore the dimensions are 90 cm, 75 cm and 60 cm; 85 cm, 75 cm and 60 cm does not preserve the stated ratio.

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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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