1.
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
2.
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
3.
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
4.
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
5.
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
6.
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
7.
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
8.
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.
9.
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
10.
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
11.
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
12.
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
13.
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
14.
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
15.
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
16.
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
17.
The side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
18.
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
19.
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
20.
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