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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 13 of 82 pages
Question 121. A closed box made of wood of uniform thickness has length, breadth and height 12 cm, 10 cm and 8 cm respectively. If the thickness of the wood is 1 cm, the inner surface area is :
  1.    264 cm2
  2.    376 cm2
  3.    456 cm2
  4.    696 cm2
 Discuss Question
Answer: Option B. -> 376 cm2
Question 122. From a cube of side 8 m, a square hole of 3 m side is hollowed from end to end. What is the volume of the remaining solid ?
  1.    440 m3
  2.    480 m3
  3.    508 m3
  4.    520 m3
 Discuss Question
Answer: Option A. -> 440 m3
Question 123. The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rate of Rs. 8 and Rs. 9.50 per square metre is Rs. 1248. Find the dimensions of the box in metres.
  1.    2 m, 12 m, 8 m
  2.    4 m, 9 m, 16 m
  3.    8 m, 12 m, 16 m
  4.    None of these
 Discuss Question
Answer: Option C. -> 8 m, 12 m, 16 m
Question 124. A cuboidal water tank contains 216 litres of water. Its depth is $$\frac{1}{3}$$ of its length and breadth is $$\frac{1}{2}$$ of $$\frac{1}{3}$$ of the difference between length and depth. The length of the tank is :
  1.    2 dm
  2.    6 dm
  3.    18 dm
  4.    72 dm
 Discuss Question
Answer: Option C. -> 18 dm
Question 125. Find the cost of a cylinder of radius 14 m and height 3.5 m when the cost of its metal is Rs. 50 per cubic meter :
  1.    Rs. 100208
  2.    Rs. 107800
  3.    Rs. 10800
  4.    Rs. 109800
 Discuss Question
Answer: Option B. -> Rs. 107800
Question 126. A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood :
  1.    81000 cu.cm
  2.    81775 cu.cm
  3.    82125 cu.cm
  4.    None of these
 Discuss Question
Answer: Option C. -> 82125 cu.cm
Question 127. The radii of the bases of two cylinders are in the ratio 3 : 4 and their height are in the ratio 4 : 3. The ratio of their volume is :
  1.    2 : 3
  2.    3 : 2
  3.    3 : 4
  4.    4 : 3
 Discuss Question
Answer: Option C. -> 3 : 4
Question 128. Find the number of coins 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
  1.    430
  2.    440
  3.    450
  4.    460
 Discuss Question
Answer: Option C. -> 450
Question 129. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
  1.    30π m2
  2.    40π m2
  3.    60π m2
  4.    80π m2
 Discuss Question
Answer: Option C. -> 60π m2
Question 130. A solid metallic right circular cylinder of base diameter 16 m and height 2 cm is melted and recast into a right circular cone of height three times that of the cylinder. Find the curved surface area of the cone. [Use $$\pi $$ = 3.14]
  1.    196.8 cm2
  2.    228.4 cm2
  3.    251.2 cm2
  4.    None of these
 Discuss Question
Answer: Option C. -> 251.2 cm2

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