# Surface Area of a Cube

## Trending Questions

**Q.**Question 3

Find the side of a cube whose surface area is 600 cm2.

**Q.**

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, then how many 1 cubic centimetre cubes will have exactly one of their faces painted?

(a) 27

(b) 42

(c) 54

(d) 142

**Q.**

Question 2

A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cube and cut-out cubes ?

(a) 1 : 2 (b) 1 :3 (c) 1 : 4 (d) 1 : 6

**Q.**

The diagonal of a cube is 9√3cm long. Its total surface area is

(a) 243cm2

(b) 486cm2

(c) 324cm2

(d) 648cm2

**Q.**

The volume of a cube is 729cm3. Find its surface area.

**Q.**

Question 11

The volume of a cube is 64 cm3. Its surface area is

(a) 16 cm2 (b) 64 cm2

(c) 96 cm2 (d) 128 cm2

**Q.**

Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is

(a) 1:3

(b) 1:9

(c) 1:27

(d) none of these

**Q.**

If the length of each edge of a cube is doubled, how many times does its volume become? How many times does its surface area become?

**Q.**

The volume of a cube is 343 cm'. Its total surface area is

(a) 196cm2

(b) 49cm2

(c) 294cm2

(d) 147cm2

**Q.**Question 6

Describe how the two figures below are alike and how they are different. Which box has larger lateral surface area?

**Q.**Two cubes each of edge 6 cm are joined face to face. Find the surface area of the cuboid thus formed.

**Q.**

Question 53

State whether the following statement is true or false:

The areas of any two faces of a cube are equal.

**Q.**

Question 58

State whether the following statement is true or false:

A cube of side 3 cm painted on all its faces, when sliced into 1 cubic cm cubes, will have exactly 1 cube with none of its faces painted.

**Q.**

If each side of a cube is doubled, its surface area

(a) is doubled

(b) becomes 4 times

(c) becomes 6 times

(d) becomes 8 times

**Q.**

A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface areas of the original cube to that of the sum of the surface areas of the smaller cubes?

**Q.**

The length of the diagonals of a cube is 8√3 cm. Find its:

i) Edge

ii) Total surface area

iii) Volume

**Q.**

Calculate the surface area of a cube of edge $4cm$ . what is the volume?

**Q.**

Find the surface area of a cube whose volume is

(i) 343 m3 (ii) 216 dm3

**Q.**

Question 8

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10cm2, respectively. The volume of the cuboid is

(a) 30 cm3 (b) 40 cm3 (c) 20 cm3 (d) 35 cm3

**Q.**

Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.

**Q.**16 If each edge of a cube is increased by 50%, then find the percentage increase in its surface area.

**Q.**

Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be

**Q.**

Find the surface area of a cube whose edge is

(i) 1.2 m (ii) 27 cm (iii) 3 cm (iv) 6 m (v) 2.1 m

**Q.**Question 7(i)

If each edge of a cube is doubled

How many times will its surface area increase?

**Q.**

If the volume of a cube is 12167, then find the length of its sides through estimation. [3 MARKS]

**Q.**

If each edge of a cube is doubled:

(i) How many times will its surface area increase?

(ii) How many times will its volume increase? [4 MARKS]

**Q.**

Question 60

State whether the following statement is true or false:

The surface area of a cube formed by cutting a cuboid of dimensions 2×1×1 in 2 equal parts, is 2 sq. units.

**Q.**The cost of painting a cube is ₹ 2/cm2. How much does it cost if a cube of side 3 cm is painted on all its sides?

- ₹ 64
- ₹ 54
- ₹ 128
- ₹ 108

**Q.**

Question 124

Work out the surface area of the following shape.

**Q.**What is the difference between total surface area and lateral surface area of a cube whose edge length is 1 cm?

- 2 cm2
- 6 cm2
- 4 cm2
- 3 cm2