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Volume and Surface Area problems


  • 1. If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.

  • Options
  • A. equal
  • B. parallel
  • C. perpendicular
  • D. non parallel
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  • 2. The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).

  • Options
  • A. 60
  • B. 240
  • C. 120
  • D. 180
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  • 3. ?ABC is similar to ?PQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ?ABC is 324 sq cm, what is the area of ?PQR?

  • Options
  • A. 72 sq cm
  • B. 144 sq cm
  • C. 36 sq cm
  • D. 487.5 sq cm
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  • 4. The radius of a hemisphere is 7 cm, find its volume?

  • Options
  • A. 718.67 cubic cm
  • B. 1437.34 cubic cm
  • C. 239.56 cubic cm
  • D. 359.34 cubic cm
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  • 5. In ?DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

  • Options
  • A. 2.4 cm
  • B. 4.8 cm
  • C. 3.6 cm
  • D. 9.6 cm
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  • 6. What is the circumference (in cm) of a circle whose area is 616 sq cm?

  • Options
  • A. 44
  • B. 22
  • C. 66
  • D. 88
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  • 7. If the diameter of a circle is 35 cm, then what will be its circumference (in cm)?

  • Options
  • A. 110
  • B. 220
  • C. 21
  • D. 42
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  • 8. Find the volume (in cm3) of a sphere of diameter 7 cm.

  • Options
  • A. 140.25
  • B. 179.67
  • C. 337.16
  • D. 213.74
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  • 9. Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

  • Options
  • A. 10
  • B. 12
  • C. 15
  • D. 16
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  • 10. The area and the length of one of the diagonals of a rhombus is 54 cm2 and 9 cm respectively. Find the length of its other diagonal (in cm).

  • Options
  • A. 6
  • B. 24
  • C. 12
  • D. 18
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