100+ Volume and Surface Area Questions and Answers Pdf - 1
Question: 1
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be
(A) 20 cm
(B) 23 cm
(C) 25 cm
(D) 28 cm
Ans: C
Total volume of water displaced = (4 × 50) m3 = 200 m3.
Rise in water level = $$({200} / {40 × 20})$$ m = 0.25 m = 25 cm.
Question: 2
The water in a rectangular reservoir having a base 80 m by 60 m is 6.5 deep. In what time can the water be emptied by a pipe of which the cross section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km per hour?
(A) 26 hrs
(B) 32 hrs
(C) 42 hrs
(D) 52 hrs
Ans: D
Volume of water in the reservoir = (80 × 60 × 6.5) m3 = 31200 m3
Volume of water flowing out per hour = $$(15000 × {20} / {100} × {20} / {100})$$ = 600 m3.
Total time taken to empty the tank = $$({31200} / {600})$$ hrs = 52 hrs.Question: 3
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
(A) 10
(B) 100
(C) 1000
(D) 10000
Ans: C
Number of cubes = $$({100 × 100 × 100} / {10 × 10 × 10})$$ = 1000.
Question: 4
A cuboidal block of 6 cm and 9 cm and 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be
(A) 12
(B) 24
(C) 36
(D) 48
Ans: B
Volume of block = (6 × 9 × 12)cm3 = 648 cm3.
Side of largest cube = H.C.F. of 6 cm, 9 cm, 12 cm = 3 cm.
Volume of this cube = (3 × 3 × 3) cm = 27 cm3.
∴ Number of cubes = $$({648} / {27})$$ = 24.
Question: 5
A cube of edge 20 cm is completely immersed in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm by 40 cm, the rise in water level will be
(A) 2
(B) 4
(C) 8
(D) 10
Ans: D
Volume increased = (20)3 cm3 = 8000 cm3.
∴ Rise in water level = $$({8000} / {20 × 40})$$ cm = 10 cm.
- 100+ Volume and Surface Area Aptitude Questions & Answers
- 100+ Volume and Surface Area Questions and Answers Pdf
- 1000+ Royal Bank of Canada Aptitude Test Questions and Anwers
- 1000+ Volume and Surface Area Worksheets with Answers Pdf
- 1000+ HCL Aptitude Questions and Answers Pdf
- 1000+ DBS Aptitude Questions and Answers Pdf
- 1000+ L&T Infotech Aptitude Questions and Answers Pdf
- ICICI Bank PO Aptitude Test Papers with Answers Pdf
TNPSC Migration and Urbanisation Research Questions More
Migration and Urbanisation MCQ Questions and Answers Pdf More
Migration and Urbanisation Class 8 Questions and Answers Pdf More
People's Revolt Class 8 Questions and Answers Pdf More
Trade and Territory Class 8 Questions and Answers Pdf More
Commonly Misspelled Words Quiz Questions More
10+ Puzzles Questions for IBPS Clerk More
1000+ Refrigeration and Air Conditioning GATE Interview Questions More
The Age of Empires Guptas and Vardhanas Questions More
World Population Day Quiz Questions and Answers More