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  • Question

  • The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm. What is the surface area of the cuboid?


  • Options
  • A. 288 sq.cm
  • B. 216 sq.cm
  • C. 144 sq.cm
  • D. Cannot be determined due to insufficient data

  • Correct Answer
  • 288 sq.cm 

    Explanation
    Let lengths, breadth and height of cuboid be l, b and h respectively
    According to question
    l+b+h = 22cm......(i)
    and
    ?(l^2+b^2+h^2) = 14cm .....(ii)
    Surface area of cuboid = 2(lb+bh+lh)
    Squaring eq (i) gives
    l 2 + b 2 + h 2 + 2(lb+bh+lh) = 484
    Substituting l^2+b^2+h^2 from eq (i)
    2(lb+bh+lh) = 484 -196 = 288 sq.cm
    • Tags: Bank Exams

    Volume and Surface Area problems

    Search Results

    • 1. An equilateral triangle ABC is inscribed in a circle of radius 20?3. The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

    • Options
    • A. 15 cm
    • B. 20 cm
    • C. 20?3 cm
    • D. 30?3 cm
      • Discuss
    • 2. An equilateral triangle ABC is inscribed in a circle of radius 20?3. What is the length of the side of the triangle?

    • Options
    • A. 30 cm
    • B. 40 cm
    • C. 50 cm
    • D. 60 cm
      • Discuss
    • 3. ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right ?angel What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

    • Options
    • A. 4 cm
    • B. 5 cm
    • C. 6 cm
    • D. 7 cm
      • Discuss
    • 4. ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right ?angel What is the area of quadrilateral ABCD?

    • Options
    • A. 300 SQ.CM
    • B. 306 SQ.CM
    • C. 312 SQ.CM
    • D. 316 SQ.CM
      • Discuss
    • 5. A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. What is the ratio of the volume of the cube to that of the cylinder ?

    • Options
    • A. 4 : 3
    • B. 21 : 16
    • C. 14 : 11
    • D. 45 : 32
      • Discuss
    • 6. The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm. If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?

    • Options
    • A. 572 cub.cm
    • B. 728 cub.cm
    • C. 1144 cub.cm
    • D. None of the above
      • Discuss
    • 7. The corners of a square of side ?a? are cut away so as to form a regular octagon. What is the side of the octagon?

    • Options
    • A. a(?2 ?1)
    • B. a(?3 ?1)
    • C. a/?2+2
    • D. a/3
      • Discuss
    • 8. Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

    • Options
    • A. Only one
    • B. Only two
    • C. Only three
    • D. Infinitely many
      • Discuss
    • 9. Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm

    • Options
    • A. 154 square cm
    • B. 308 square cm
    • C. 462 square cm
    • D. 616 square cm
      • Discuss
    • 10. A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

    • Options
    • A. 9 square feet
    • B. 15 square feet
    • C. 17 square feet
    • D. 18 square feet
      • Discuss

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