Volume of Cube

Q. Find the volume of the right circular cone with radius 6 cm and height 7 cm.

Q. If the volume of two cubes are in the ratio 27:1, then the ratio of their edges is _______.

1. 3 : 1
2. 27 : 1
3. 1 : 27
4. 1 : 9

Q. Question 2 (i)
Find the amount of water displaced by a solid spherical ball of diameter:
(i) 28 cm
$[Assume\pi =\frac{22}{7}]$

Q. Question 1 (i)
Find the volume of a sphere whose radius is:
(i) 7 cm
$[Assume\pi =\frac{22}{7}]$

Q. 27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the big sphere is .

1. 3 cm
2. 9 cm
3. 15 cm
4. 5 cm

Q. If each edge of a cube of volume V is tripled, then the volume of the new cube is ___.

1. 8V
2. 27V
3. 18V
4. 9V

Q. The ratio of surface area of a cube of volume 64 cm${}^3$ to that of 64 cubes of volume 1 cm${}^3$ each = .

1. 1:1
2. 1:2
3. 1:4

Q. From a wooden block of length, breadth and height 24 cm, 12 cm and 8 cm respectively, cubes of side 3 cm are cut out. How much volume of wood is left out?

1. 576 cm${}^3$
2. 684 cm${}^3$
3. 1064 cm${}^3$
4. 854 cm${}^3$

Q. 27 spherical iron balls of radius 7 cm each are melted and recasted into a big sphere. Find the radius of the big sphere formed.

1. 11 cm
2. 21 cm
3. 20 cm
4. 10 cm

Q. The volume of a cube is 125 cubic m. Find its total surface area.

1. 150 sq. m
2. 200 sq. m
3. 250 sq. m
4. 100 sq. m

Q. Question 1 (ii)
Find the volume of a sphere whose radius is:
(ii) 0.63 m
$[Assume\pi =\frac{22}{7}]$

Q. The volume of a cube whose surface area is 96 cm², is

(a) $16\sqrt{2}c{m}^3$

(b) 32 cm³

(c) 64 cm³

(d) 216 cm³

Q. The number of small cubes with an edge of 10 cm that can be accommodated in a cubical box of edge 1 m is ___.

1. 10
2. 100
3. 1000
4. 1

Q. A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.

Q. Find the volume of the right circular cone with radius 6 cm and height 7 cm.

Q. A water container can hold 40 litres of water. Find the total number of ice cubes of side 5 cm which the container can hold.

Q. the tsa of a cube is 32 2/3 m cube . find the volume of the cube.

Q. The volume of a cube is 512 cm³. Find its surface area.

Q. The trunk of a tree is cylindrical, and its circumference is $176cm$. If the length of the trunk is $3m$. Find the volume of the timber that can be obtained from the trunk.

Q. The volume of cube inm³is equal to surface area of cube in m². The volume of the cube is ?

Q. The total surface area of a cube is 1176 cm². Find its volume.

Q. 27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the big sphere is .

1. 3 cm
2. 9 cm
3. 15 cm
4. 5 cm

Q. Find the volume of a cube whose total surface area is 384 cm².

Q. 27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the big sphere is .

1. 9 cm
2. 5 cm
3. 3 cm
4. 15 cm

Q. Question 4
The diameter of the moon is approximately one-fourth of the diameter of the earth.
What fraction of the volume of the earth is the volume of the moon?

Q. The lateral surface area of a cube is 900 cm². Find its volume.

Q.

27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

1. 9 cm

2. 15 cm

3. 5 cm

4. 3 cm

Q.

27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

1. 3 cm

2. 9 cm

3. 15 cm

4. 5 cm

Q.

THe volume of a cube is a cubic centimetres.If its length, breadth and height are each doubled, the new volume in cubic centimetres wil be

Q. three cubes of side 10 cm each are joined and another row of three cubes of side 10 cm each are placed over them.find the surface area and volume of the resulting solid.