Volume And Surface Area(Quantitative Aptitude ) Questions and Answers

Question 1.

  1. The number of wooden cubes with an edge of 15 cm each which can be cut off from a cube whose edge is 6 dm is

  1.    16
  2.    36
  3.    64
  4.    none of these
Explanation:-
Answer: Option C. -> 64
Question 2.

  1. The dimensions of a brick are 24 cm × 12 cm × 8 cm. The number of bricks that will be required to build a wall 24 m long, 8 m high and 0.6 m thick, if 10% of the wall is filled with mortar, is

  1.    40000
  2.    45000
  3.    50000
  4.    55000
Explanation:-
Answer: Option B. -> 45000
Question 3.

  1. The outer measurements of a closed wooden box are 42 cm, 30 cm and 27 cm. If the box is made of wood 1 cm thick, then the capacity of the box is

  1.    26000 cm3
  2.    28000 cm3
  3.    30000 cm3
  4.    32000 cm3
Explanation:-
Answer: Option B. -> 28000 cm3
Question 4.

  1. The outer dimensions of a closed wooden box are 45 cm × 35 cm × 30 cm. The box is made of wood 2.5 cm thick. The cost of wood used at Rs 4 per dm3 is

  1.    Rs 49.00
  2.    Rs 59.00
  3.    Rs 69.00
  4.    Rs 79.00
Explanation:-
Answer: Option C. -> Rs 69.00
Question 5.

  1. The sides of a cuboid, whose volume is 210 cm3, total surface area is 214 cm2 and the area of the base is 42 cm2, are

  1.    5 cm, 6 cm , 7 cm
  2.    6 cm, 7 cm , 5 cm
  3.    7 cm, 6 cm , 5 cm
  4.    none of these
Explanation:-
Answer: Option C. -> 7 cm, 6 cm , 5 cm
Question 6.

  1. A hall whose length is 16 m and breadth twice its height takes 168 m of paper 2 m wide for its four walls. The area of the floor is

  1.    188 m2
  2.    190 m2
  3.    192 m2
  4.    194 m2
Explanation:-
Answer: Option C. -> 192 m2
Question 7.

  1. There is a cubical room whose length is 8 m. The number of students that it can accommodate, if each student requires 2.50 m3 of space, is

  1.    104
  2.    204
  3.    304
  4.     none of these
Explanation:-
Answer: Option B. -> 204
Question 8.

  1. A rectangular water reservoir measures 8 m by 4.5 m at the base. Water flows into it through a pipe whose cross-section is 5 cm × 3 cm at the rate of 10 m per second. The height to which the water will rise in the reservoir in 40 minutes is

  1.    0.5 m
  2.    1 m
  3.    1.5 m
  4.    2 m
Explanation:-
Answer: Option B. -> 1 m
Question 9.

  1. The length of the longest rod that can be placed in a room 12 m × 9 m × 8 m is

  1.    17 m
  2.    18 m
  3.    19 m
  4.    20 m
Explanation:-
Answer: Option A. -> 17 m
Question 10.

  1. Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down into a single cube whose diagonal is 12  cm. The edges of the three cubes are

  1.    6 cm , 8 cm , 10 cm
  2.    8 cm , 10 cm , 6 cm
  3.    10 cm , 8 cm , 6 cm
  4.    none of thes
Explanation:-
Answer: Option A. -> 6 cm , 8 cm , 10 cm
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