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Home Aptitude Volume and Surface Area Comments

  • Question
  • The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter?


  • Options
  • A. 1536
  • B. 1024
  • C. 718
  • D. 2072

  • Correct Answer
  • 1536 

  • Tags: CAT, Bank Exams, AIEEE

    Volume and Surface Area problems


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    • 1. A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?

    • Options
    • A. 64
    • B. 56
    • C. 48
    • D. 40
    • Discuss
    • 2. The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side

    • Options
    • A. Rs.962
    • B. Rs.672
    • C. Rs.546
    • D. Rs.876
    • Discuss
    • 3. Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

    • Options
    • A. 2:1
    • B. 3:1
    • C. 4:1
    • D. 5:1
    • Discuss
    • 4. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

    • Options
    • A. 24
    • B. 20
    • C. 26
    • D. 34
    • Discuss
    • 5. Find the area of a square, one of whose diagonals is 3.8 m long.

    • Options
    • A. 4.22 sq.m
    • B. 5.22 sq.m
    • C. 6.22 sq.m
    • D. 7.22 sq.m
    • Discuss
    • 6. If ?ABC is an equilateral triangle of side 16 cm, then the length of altitude is

    • Options
    • A. 2?3 cm
    • B. 4?3 cm
    • C. 8?3 cm
    • D. 5?3 cm
    • Discuss
    • 7. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

    • Options
    • A. 18
    • B. 28
    • C. 32
    • D. 36
    • Discuss
    • 8. The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?

    • Options
    • A. 300%
    • B. 400%
    • C. 450%
    • D. 500%
    • Discuss
    • 9. Considering two opposite vertices of a square of side ?a? as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

    • Options
    • A. a2?+12
    • B. a
    • C. a2?2-1
    • D. ?a/2
    • Discuss
    • 10. The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm).

    • Options
    • A. 360
    • B. 80
    • C. 160
    • D. 180
    • Discuss


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