1.
The lateeral surface area of cuboid length 12 m, breadth 8 m and height 6m.
Answer: Option 'D'
Cuboid lateral surface = 2h(l+b)
= 2 × 6 (20) = 240 m2
2.
If the volume and surface area of a sphere are numerically the same, then its radius is:?
Answer: Option 'B'
4/3 πr3 = 4 π r2
r = 3
3.
The radius of a cone is 4 m, height 5 m. Find the curved surface area?
Answer: Option 'B'
Cone curved surface area = πrl = 22/7 × 4 × 5 = 440/7 = 62 6/7
Slant height (l) = √r2+h2 = √16+9 = √25 = 5
4.
The side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
5.
The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?
Answer: Option 'A'
Cube volume = a3 cubic units
Surface area = 6 a2 sq.units
a3 = 6 a2
a = 6 m
6.
Two cylinders of theis radius in the ratio 3 : 5 and heights in the ratio 10 : 9. Then find the volumes ratio?
Answer: Option 'D'
πR2H : πr2h
9 × 10 : 25 × 9
90 : 225
2 : 5
7.
The diagonal of a cube is 8√3. find its volume and surface area.
Answer: Option 'D'
√3.a = 8 √3 => a = 8
Volume = a3 => (8 × 8 × 8) Cm3 => 512 Cm3
Surface area => 6 a2 => (6 × 8 × 8) Cm2 => 384 Cm2
8.
The radius ofa cone is 14 m, slant height is 20 m. Find the curved surface area?
Answer: Option 'D'
Cone curved surface area = πrl
22/7 × 14 × 120 = 44 × 20 = 880 m2
9.
A cylinder and a cone have the same height and same radius of base. The ratio between the volumes of the cylinder and the cone is:
Answer: Option 'A'
Volume of the cylinder = πr2h
Volume of the cone = 1/3 πr2h
(πr2h)/(1/3 πr2h) = 3/1 = 3 : 1
10.
How many box's of length 40 Cm, width 30 Cm and height 10 Cm can be formed from a box of 6 m length, 4 m width and 2 m height.
Answer: Option 'C'
(600×400×200)/(40×30×10) = 4000
11.
How many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Answer: Option 'D'
(18 × 15 × 12)/(5 × 3 × 2) = 108
12.
The side of a cube is 15 m, find it's surface area?
Answer: Option 'A'
Surface area = 6 a2 sq. units
6 a2 = 6 × 225 = 1350 m2
13.
How many cubes of 10 Cm edge can be put in a cubic box of 1 m edge?
Answer: Option 'D'
(110×100×100)/10×10×10 = 1000
14.
The side of a cube is 12 m, find the lateral surface area?
Answer: Option 'D'
Lateral surface = 4 a2
4 × 122 = 4 × 144 => 516 m2
15.
The radius of hemi-sphere is 14 m. find its cutved surface area?
Answer: Option 'D'
Curved surface area = 2πr2
2 (22/7) × 14 × 14
44 × 28
1238 sq.units
16.
How many cones of radius 4 m, height 2 m can be formed from a cylinder of 12 m radius, 10 m height:
Answer: Option 'C'
(Cylinder volume)/(Cone volume)
(πr2h)/(1/3 πr2h) = (π × 12 × 12 × 10)/(1/3 π × 4 × 4 × 2) = 135
17.
Find the volume of cuboid 15 m length, 9 m breadth and 2 m height.
Answer: Option 'D'
Cuboid volume => l × b × h => 15 × 12 × 8 = 1440 m3
18.
The radius of hemi sphere 7 m, find its volume?
Answer: Option ''
Hemi-sphere volume (V) = 2/3 πr3
= 2/3 × 22/7 × 7 × 7 × 7
= (44 × 49)/3 = 616/3 = 205 1/3 m3 cubic units
19.
The lateral surface area of cube is 100 sq.units. find the volume of cube?
Answer: Option 'C'
Lateral surface = 4 a2 = 100 sq.units
a2 = 25
a = 5.
Cube volume = a3 => 125 m3
20.
If each edge of cube increased by 10%, the percentage increase in surface area is:
Answer: Option 'A'
100 × (110)/100 × (110)/100 × (110)/100 => 1331/100 = 33.1%