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