Total Surface Area of a Cube

Q.

If the total surface area of a cube is $216c{m}^2$, then find its volume.

1. $1296c{m}^3$

2. $343c{m}^3$

3. $216c{m}^3$

4. $125c{m}^3$

Q. Two cubes each of edge 2 cm are joined face to face. Find the total surface area of the cuboid thus formed.

1. 40 $c{m}^2$
2. 30 $c{m}^2$
3. 20 $c{m}^2$
4. 60 $c{m}^2$

Q.

The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.

Q.

A cube is 7 cm on an edge and another cube is 14 cm on an edge. The ratios of their curved surface areas are

1. 1:2

2. 4:1

3. 2:1

4. 1:4

Q.

The cross section of a piece of metal of length 4 m is shown. Find the volume of the cross section.

1. None of these

2. 5340 $c{m}^3$

3. 534 $c{m}^3$

4. 53400 $c{m}^3$

Q. Find the number of cubes of side 2 cm required to make a cube of side 6 cm.

1. 27
2. 32
3. 42
4. 37

Q.

If the lateral surface area of a cube is 1600 cm², then its edge is:

1. 18 cm

2. 15 cm

3. 20 cm

4. 25 cm

Q. 10 cubes are placed adjacent to each other in a row. find the ratio of total surface area of the cuboid thus formed to the sum of the surface areas of 10 cubes

Q.

Rubik's cube has a total surface area of 54 ${cm}^2$. The area occupied by a single red tile on Rubik's cube is ___ .

Q. Find the total surface area of a cubical box of side '$a$' cm in which top surface is missing.

1. $4a^2{\text{cm}}^2$
2. $5a^2{\text{cm}}^2$
3. $8a^2{\text{cm}}^2$
4. $6a^2{\text{cm}}^2$

Q. Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is

(a) 7 : 9

(b) 49 : 81

(c) 9 : 7

(d) 27 : 23

Q. Question 2
The total surface area of a cube is $96c{m}^2$. The volume of the cube is:

A) $8c{m}^3$
B) $512c{m}^3$
C) $64c{m}^3$
D) $27c{m}^3$​​​​​​​

Q.

The side of a cube measures 10 cm. The cost of painting the outer surface of the cube at the rate of ₹10 per sq cm is ₹ 6000.

1. True

2. False

Q.

The ratio of the surface area of a cube of volume $64c{m}^3$ to the surface area of 64 cubes of volume $1c{m}^3$ is:

1. 1: 1

2. 1: 2

3. 1: 3

4. 1: 4

Q.

Surface area of a cube whose side is of length $20cm$ is $400c{m}^2$.

1. False

2. True

Q. Find the ratio of the total surface area and lateral surface area of a cube.

Q. What is the ratio of total surface area to lateral surface area for a cube?

1. 0.5
2. 1.5
3. 2.5
4. 3

Q.

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

1. $484c{m}^2$

2. $384c{m}^2$

3. $262c{m}^2$

4. $460c{m}^2$

Q. Find the surface area of a cube whose volume is $216c{m}^3$.

1. $216c{m}^3$
2. $362c{m}^3$
3. $362c{m}^2$
4. $216c{m}^2$

Q. The total surface area of a cube is $96c{m}^2$. The volume of the cube is:

1. $8c{m}^3$
2. $512c{m}^3$
3. $64c{m}^3$
4. $27c{m}^3$

Q.

A 3 x 3 Rubik's cube has a total surface area of 54 ${cm}^2$. The area occupied by a single red tile on Rubik's cube is

1. $0.25c{m}^2$

2. $0.5c{m}^2$

3. $2c{m}^2$

4. $1c{m}^2$

Q. A cube of edge ‘k’ is divided into ‘n’ equal cubes. Determine the edge of the new cube.

1. $\sqrt{nk}$
2. $\frac{k}{\sqrt[3]{3n}}$
3. $\sqrt[3]{3n}$
4. $\frac{\sqrt[3]{3n}}{k}$

Q. If the perimeter of each face of a cube is 32 cm, find its lateral surface area.

Q. Count the number of cubes and find the volume in

Q.

A cube is 7 cm on an edge and another cube is 14 cm on an edge. The ratios of their curved surface areas are

1. 1:2

2. 1:4

3. 4:1

4. 2:1

Q.

The orange paint bottle can paint an area of 600 cm2. Will one bottle be sufficient to paint the entire cube block given below?

Q.

Two identical cubes of side 4 cm are placed one above the other, forming a cuboid. Find the total surface area of the cuboid thus formed.

1. $96{\text{cm}}^2$

2. $100{\text{cm}}^2$

3. $160{\text{cm}}^2$

4. $180{\text{cm}}^2$

Q. A solid cube is cut into two cuboids of equal volumes. Find the ratio of the total surface area of the given cube and one of the cuboid.

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

Q. A solid cube is cut into two cuboids of equal volumes. The ratio of the total surface area of the given cube and that of one of the cuboids is

1. $6a^2:4a^2$
2. $3:4$
3. $4a^2:6a^2$
4. $2:3$

Q.

How many persons can be accommodated in a dining hall of dimensions $\mathbf{(}\mathbf{20}\mathbf{}\mathit{m}\mathbf{\times }\mathbf{16}\mathbf{}\mathit{m}\mathbf{\times }\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{}\mathit{m}\mathbf{)}$, assuming that each person requires $\mathbf{5}\mathbf{}\mathit{c}\mathit{u}\mathit{b}\mathit{i}\mathit{c}\mathbf{}\mathit{m}\mathit{e}\mathit{t}\mathit{r}\mathit{e}\mathit{s}$ of air?