1.
The side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
2.
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
3.
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
4.
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
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 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
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.
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
9.
Two cubes of thire sides ratio 2 : 3. Find its cube volumes ratio?
Answer: Option 'C'
a3 : b3 = 23 : 33
= 8 : 27
10.
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
11.
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
12.
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
13.
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
14.
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
15.
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
16.
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%
17.
If each edge of cube increased by 20%, the percentage increase in
Answer: Option 'A'
100 × (120)/100 × (120)/100 = 144 => 44%
18.
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
19.
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
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