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Home Aptitude Volume and Surface Area See What Others Are Saying!
  • Question
  • A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface area of two solids is?


  • Options
  • A. 284 cm2
  • B. 286 cm2
  • C. 296 cm2
  • D. 300 cm2

  • Correct Answer
  • 286 cm2 

    Explanation

    Volume of cube formed = 216 cm3
    ? Edge of the cube = (6 x 6 x 6)1/3 = 6 cm
    Surface area of original metal sheet = 2(27 x 8 + 8 x 1 + 27 x 1) cm2 = 502 cm2

    Surface area of the cube formed = [6 x (6)2] cm2 = 216 cm2

    ? Required difference in area of two solids = (502 - 216) cm2
    = 286 cm2


  • More questions

    • 1. 
      The ratio of the area of square of side a and equilateral triangle of side a is?

    • Options
    • A. 2 :1
    • B. 2 : ?3
    • C. 4 :3
    • D. 4 : ?3
    • Discuss
    • 2. 
      (log tan1°. log tan2° ............. log tan50°) is?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. - 1
    • Discuss
    • 3. 
      The number of all prime numbers less than 40 is ...

    • Options
    • A. 15
    • B. 18
    • C. 12
    • D. 17
    • Discuss
    • 4. 
      The areas of two similar ?s are 81 cm 2 and 144 cm 2. If the largest side of the smaller ? is 27 cm, then the largest side of the larger ? is :

    • Options
    • A. 24 cm
    • B. 48 cm
    • C. 36 cm
    • D. 88 cm
    • Discuss
    • 5. 
      A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?

    • Options
    • A. 16
    • B. 34
    • C. 14
    • D. 36
    • Discuss
    • 6. 
      In the following, find the value (s) of P so that the given equation has equal roots 3x 2 - 5x + P = 0

    • Options
    • A. - 25 12
    • B. 25 6
    • C. 25 12
    • D. - 25 6
    • Discuss
    • 7. 
      If (1/5 )3a = 0.008 Find the value of ( 0.25)a

    • Options
    • A. 20.5
    • B. 22.5
    • C. 0.25
    • D. 6.25
    • Discuss
    • 8. 
      A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is?

    • Options
    • A. 120%
    • B. 20%
    • C. 40%
    • D. 100
    • Discuss
    • 9. 
      A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is?

    • Options
    • A. 268 sq. cm
    • B. 528 sq. cm
    • C. 462 sq. cm
    • D. 658 sq. cm
    • Discuss
    • 10. 
      The total number of students in school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boy to the total number of girls in the school?

    • Options
    • A. 26 : 25
    • B. 47 : 60
    • C. 18 : 13
    • D. 31 : 79
    • Discuss


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