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(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Volume & Surface Area of Solid Figures (MCQ -16)
Basic Numeracy
Volume & Surface Area of Solid Figures (MCQ -16)
1. A hall is 15 m long and 12 m broad. If the sum of
the areas of the floor and the ceiling is equal to the sum of areas of the four
walls, the volume of the hall is:
(a) 720
(b) 800
(c) 1200
(d) 2000
2.The sum of the length, breadth and depth of a
cuboid is 19 cm and its diagonal is 5Ö5 cm. It surface area is:
(a) 127 cm2
(b) 236 cm2
(c) 361 cm2
(d) 480 cm2
3. A swimming pool 9 m wide and 12 m long is 1 m
deep on the shallow side and 4 m deep on the deeper side. Its volume is:
(a) 309 m3
(b) 270 m3
(c) 360 m3
(d) 607 m3
4.A metallic sheet is of rectangular shape with
dimensions 48m× 36m. Fromeach of its corners, a square is cut off so as to make
an open box. IfRs. the length of the square is 8 m, the volume of the
box (in m3) is:
(a) 5835
Rs.(b) 6400
(c) 6420
(d) 9260
5.An open box is made of wood 3 cm thick. Its
external dimensions are 1.46 m, 1.16 m and 8.3 dm. The cost of painting the
inner surface of the box at 50 paise per 100 sqr cm is:
(a) Rs. 140
(b) Rs. 277
(c) Rs. 415.50
(d) Rs. 650
6. A cistern of capacity 8000 litres measures
externally 3.3 m by 2.6m by 1.1 in and its walls are 5 cm thick. The thickness
of the bottom is:
(a) 90 cm
(b) 1 cm
(c) 3.5 m
(d) 3.1 m
7. If ametallic cuboidweighs 16 kg, howmuch would a
miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of
the original?
(a) 0.25 kg
(b) 0.50 kg
(c) 3 kg
(d) 2 kg
8. The areas of -the three adjacent faces of a
rectangular box whichmeet in a point are known. The product of these areas is
equal to:
(a) the volume of the box
(b) twice the volume of the box
(c) the square of the volume of the box
(d) the cube root of the volume of the box
9. If the areas of the three adjacent faces of a
cubical box are 120 cm2 72 cm2 and 60 cm2 respectively, then find the volume of
the box.
(a) 720 cm3
(b) 564 cm3
(c) 7200 cm3
(d) 650 cm3
10. If the areas of three adjacent faces of a
rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu. cm;
then the length of the shortest side is:
(a) 11 cm
(b) 15 cm
(c) 20 cm
(d) 35 cm
11. The perimeter of one face a of cube is 20 cm.
Its volume must be:
(a) 125 cm3
(b) 500 cm3
(c) 1000 cm3
(d) 9000 cm3
12.The cost of the paint is Rs. 36.50 per kg. If 1
kg of paint covers 16 square feet, howmuch will it cost to paint outside of a
cube having 8 feet each side?
(a) Rs. 945
(b) Rs. 864
(c) Rs. 876
(d) Rs. 1002
13. If the numbers representing volume and surface
area of a cube are equal, then the length of the edge of the cube in terms of
the unit of measurement will be:
(a) 7
(b) 8
(c) 5
(d) 6
14 How many cubes of 10 cm edge can be put in a
cubical box of 1 m edge?
(a) 13
(b) 110
(c) 1000
(d) 10000
15. A rectangular boxmeasures internally 1.6mlong,
1mbroad and 60 cmdeep. The. number of cubical blocks each of edge 20 cmthat can
be packed inside the box is:
(a) 32
(b) 55
(c) 60
(d) 120
16. How many cubes of 3 cm edge can be cut out of a
cube of 18 cm edge?
(a) 39
(b) 216
(c) 218
(d) 435
17. A cuboidal block of 6 cm × 9 cm × 12 cm is cut
up into an exact number of equal cubes. The least possible number of cubes will
be:
(a)6
(b) 11
(c) 24
(d) 32
18. The size of a wooden block is 5 × 10 × 20 cm.
How many such blocks will be required to construct a solid wooden cube of
minimum size?
(a) 6
(b) 12
(c) 12
(d) None of these
19. Edge of a cube is 5 cm. Find the surface area.
(a) 125 cm2
(b) 150 cm2
(c) 88.66 cm2
(d) 160 cm2
20. Find the length of the longest pole that can be
placed in a room 30 m long, 24m broad and 18 m high.
(a) 30 m
(b) 30Ö2 m
(c) 30Ö3 m
(d) 60 m
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