Total Surface Area of a Cube

Q.

If each edge of a cube is doubled. How many times will its surface area increase?

1. 2
2. 4
3. 3
4. 8

Q. The lateral surface area of a cube of side a is ______ .

1. $4a^2$
2. $12a^2$
3. $2a^2$
4. $6a^2$

Q. The surface area of the cube of side 6 cm is equal to

1. $216c{m}^2$
2. $226c{m}^2$
3. $316c{m}^2$
4. $326c{m}^2$

Q. The total surface area of a cube is 1350cm${}^2$. Then its side is __________.

1. 225cm
2. 15cm
3. 135cm
4. 25cm

Q. The area of 4 walls of a hall is $320m^2$. The length and breadth of the hall are 12.5 m and 7.5 m respectively. Find the height of the wall? [3 MARKS]

Q.

Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter of height 2.5 m with base dimensions $4m\times 3m?$

1. $47m^2$

2. $30m^2$

3. $54m^2$

4. $37m^2$

Q. LSA of cube having side 3 cm is

1. $27{\text{cm}}^2$
2. $36{\text{cm}}^2$
3. $9{\text{cm}}^2$
4. $18{\text{cm}}^2$

Q. The area of four walls of a cube whose one edge is 2.5 m is $25m^2$.

1. True

2. False

Q. What's the lateral surface area of the cube if the length of its side is 6 cm?

1. $144c{m}^2$
2. $36c{m}^2$
3. $24c{m}^2$
4. $72c{m}^2$

Q.

Find the side of a cube whose surface area is 1176 $c{m}^2$.

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. If the surface area of a cube is $1536c{m}^2$, then the length of the side of the cube is

1. $0.16m$
2. $1.6cm$
3. $1.6m$
4. $160cm$

Q. The cost of painting the whole surface area of a cube at the rate of 13 paise per cm² is ₹343.98. Then, find the volume of the cube.

1. $10648c{m}^3$
2. $6859c{m}^3$
3. $8000c{m}^3$
4. $9261c{m}^3$

Q.

Sam's cubicle is exactly in the shape of a cube of side 6 m. It is a closed cubicle from all the 6 surfaces. The total surface area of the cubicle ignoring the thickness is ___$m^2$

Q.

Find the length of the side of a cube whose surface area is $1536c{m}^2$.

1. 0.16 m

2. 0.16 cm

3. 1.6 m

4. 160 cm

Q.

A cuboid has length$15feet$, breadth $12feet$, and height $10feet$. Find the total surface area of the cuboid.

Q. Find the length of the side of a cube whose total surface area is $1536c{m}^2$.

1. $16cm$
2. $18cm$
3. $1cm$
4. $6cm$

Q. Each face of a cube has perimeter equal to $32$ cm. Find its surface area

Q. The area of 4 walls of a hall is $30m^2$. The length and breadth of the hall are 12.5 m and 7.5 m respectively. Find the height of the wall?

1. $x=7m$
2. $x=12m$
3. $x=8m$
4. $x=18m$

Q. Which of the following is/are true about perimeter?

1. The perimeter is the total measure of the boundary of a closed figure.
2. The perimeter of the rectangle is $2(l\times b)$.
3. The perimeter of a figure is the portion inside a closed figure.
4. The perimeter of circle is $\pi r^2$.

Q. A solid cubical block of fine wood costs ₹256 at the rate of ₹500/m${}^3$. Find the length of each side.

1. 90 cm

2. 80 cm

3. 70 cm
4. 120 cm

Q. 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 ?

Q. Find the side of a cube whose surface area is $600c{m}^2$.
[1 mark]

Q. Ratio between the lateral area and base area of a cube

Q. The volume of cube is $36c{m}^3$. Its surface area is

1. $6(36{)}^{\frac{3}{2}}$
2. $(36{)}^{\frac{3}{2}}$
3. None
4. $6(36{)}^{\frac{2}{3}}$

Q. Whats the difference between lateral surface area of a cube or cuboid and total surface area of cube and cuboid??

Q. Three cubes each of edge $10cm$ are joined to form a cuboid. Find the following:
(i) The surface area of resulting cuboid.
(ii) The ratio of surface are of resulting cuboid to the sum of the surface areas of three cube