1.
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
2.
The radius of a cylinder is 6 m, height 21 m. The total surface area of the cylinder is?
Answer: Option 'D'
Total surface area of the cylinder is = 2πr (r+h)
= 2 × 22/7 × 6(6+8)
= 2 × 22/7 × 6(14) = 44 × 12 = 528 m2
3.
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
4.
Three cubes of sides 5 m, 4 m, and 3 m are melted to form a new cube. Find the surface of the new cube?
Answer: Option 'C'
Volume of the new cube = [ 53 + 43 + 33 ] Cm3
= 125 + 64 + 27 = 216 Cm3 => a3 = 216 Cm3
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.
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
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 side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
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.
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%
11.
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
12.
If each edge of cube increased by 20%, the percentage increase in
Answer: Option 'A'
100 × (120)/100 × (120)/100 = 144 => 44%
13.
Two cubes of their volumes in the ratio 64 : 125. The ratio of their surface area is:
Answer: Option 'B'
The ratio of their surface area is
64 : 125
4 : 5
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 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
16.
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
17.
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
18.
The radius of a cone is 8 m, height 6 m. Find the slant height?
Answer: Option 'B'
Answer: Option 'B'
Cone slant height (l) = √r2+h2
= √64+36 = 10 m.
19.
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
20.
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