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Volume and Surface Area problems

  • 1. The point where the 3 medians of a triangle meet is called

  • Options
  • A. centroid
  • B. Incentre
  • C. Circumcentre
  • D. orthocentre
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  • 2. ?ABC a right angled triangle has ?B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is

  • Options
  • A. 3 cms
  • B. 4 cms
  • C. 2.5 cms
  • D. 5.5 cms
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  • 3. The point equidistant from the sides of a triangle is called

  • Options
  • A. Circumcenter
  • B. Incentre
  • C. Orthocentre
  • D. Centroid
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  • 4. The point equidistant from the sides of a triangle is called

  • Options
  • A. Circumcenter
  • B. Incentre
  • C. Orthocentre
  • D. Centroid
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  • 5. The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:

  • Options
  • A. 4:3
  • B. 3:4
  • C. 2:1
  • D. 1:2
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  • 6. Which one of the following combination of measurements can form the sides of a triangle?

  • Options
  • A. 9 cm, 6 cm, 2 cm
  • B. 11 cm, 3 cm, 12 cm
  • C. 3 cm, 5 cm, 8 cm
  • D. 5 cm, 7 cm, 13 cm
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  • 7. In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

  • Options
  • A. 4 cm and 3 cm
  • B. 8 cm and 6 cm
  • C. 12 cm and 9 cm
  • D. 16 cm and 12 cm
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  • 8. In triangle ABC, BAC = 90 deg and AD is perpendicular to BC. If AD = 6cm and BD = 4cm, then the length of BC is

  • Options
  • A. 10 cm
  • B. 12 cm
  • C. 13 cm
  • D. 15 cm
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  • 9. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ADE is 8 sq cm, what is the ratio of area of ?ADE: area of quadrilateral BDEC?

  • Options
  • A. (4:45)
  • B. (45:4)
  • C. (8:45)
  • D. (45:8)
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  • 10. ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is

  • Options
  • A. 2
  • B. 1
  • C. 0
  • D. 3
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