1.
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
2.
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
3.
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
4.
If each edge of cube increased by 20%, the percentage increase in
Answer: Option 'A'
100 × (120)/100 × (120)/100 = 144 => 44%
5.
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
6.
Two spheres of their radious in the ratio 4 : 3. Find its volumes ratio?
Answer: Option 'C'
Sphere volume (V) = 4/3 πR3 : 4/3 π r3 = 43 : 33 = 64 : 27
7.
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
8.
The height of cylinder is 14 Cm and its diameter is 10 Cm. The volume of the cylinder is:
Answer: Option 'B'
h = 14 Cm and r = 5 Cm
Cylinder volume = πr2h = (22/7 × 5 × 5 × 14) Cm3 = 1100 Cm3
9.
The radius of a cylinder is 12 m, height 21 m. the lateral surface area of the cylinder is:
Answer: Option 'C'
Lateral surface area = 2πrh
= 2 × 22/7 × 12 × 21
= 44 × 36
= 1584 m2
10.
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
11.
The side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
12.
The length of box 12 Cm long, 8 Cm breadth and 9Cm height. Find the length of pencil in that box?
Answer: Option 'C'
Diagonal (d) = √l2+b2+h2
= √122+82+92
= √144+64+81
= √289 => 17 Cm
13.
The radius of the cylinder and cone are equal. find its volumes ratio:
Answer: Option 'B'
radius of the cylinder = radius of the cone
πr2h = 1/3 πr2h 1 : 1/3
3 : 1
14.
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
15.
The surface area of a cube is 486 Cm3. Find its volume?
Answer: Option 'C'
Let each edge of the cube be a Cm.
Then 6 a2 = 486 => a2 = 81 = 92 => a = 9
Volume = a3 = 93 Cm3 => 729 Cm3
16.
The total surface area of a cuboid length 12 m, breadth 10 m and height 8 m.
Answer: Option 'B'
Total surface area of cuboid
= 2 (lb+bh+lh)
= 2 (120 + 80+ 96)
= 2 (296) => 596 m2
17.
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
18.
The radius of a cone is 10 m, height 21 m. The volume of the cone is:
Answer: Option 'C'
1/3 πrh = 1/3 × 22/7 × 100 × 21
= 2200 m3
19.
The height of a cylinder is 60 Cm and the diameter of its base is 5 Cm. The total surface area of the cylinder is :
Answer: Option 'C'
Given h = 60 Cm and r = 5/2 Cm
Total surface area = 2πrh + 2&pir2
= 2πr(h+r)
= [2 × 22/7 × 5/2 × (60 + 5/2)] Cm2
= [ 44/7 × 5/2 × ( (120 + 5)/2 ) ] Cm2
= 22/7 × 5 × 125/2 Cm2
= (55 × 125)/7 Cm2
= 6875/7 Cm2
= 982.14 Cm2
20.
If the radius of the sphere is 14 m. then its total surface area is:
Answer: Option 'A'
Sphere Total surface area = 4πr2 = 4 × 22/7 × 14 × 14 = 2464
21.
The radius of hemi-sphere is 7 m. Find it's total surface area?
Answer: Option 'C'
otace area = 3πr2 sq.units
= 3 × 22/7 × 7 × 7
= 66 × 7 = 462 m3
22.
If the radius of sphere is doubled, then its volume is increased by:
Answer: Option 'C'
radius = r. Original volume = 4/3 πr3
New radius = 2r New volume = 4/3 π(2r)3 = (32πr3)/3
increase in volume = ( (32πr3)/3 × 3/(4πr3) × 100 ) % = 700%
23.
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
24.
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
25.
The radius of a cylinder is 10 m, height 14 m. The volume of the cylinder is:
Answer: Option 'C'
Cylinder volume = πr2h
= 22/7 × 10 × 10 × 14
= 4400 m3