Total and Lateral Surface Area of Cube

Q.

The perimeter of cross section of cube is 28 metres. What is its lateral surface area?

Q. A cube is inscribed inside the sphere of diameter 10 cm, it is given that corners of the cube touches the surface of the sphere then, what's the total surface area of the cube?

1. 1200 $c{m}^2$
2. 400 $c{m}^2$
3. 200 $c{m}^2$
4. 600 $c{m}^2$

Q. What is the total surface area of a cube of side 3 m?

1. 27 sq. metres
2. 18 sq. metres
3. 30 sq. metres
4. 54 sq. metres

Q. Total surface area of a cube is $1350c{m}^2$. Find the edge of the cube.

1. 15 cm
2. 50 cm
3. 45 cm
4. 30 cm

Q. Find the lateral surface area and the total surface area of a cube of side 8 cm.

Q. If the length of a diagonal of a cube is $8\sqrt{3}$ cm, then its surface area is

(a) 512 cm²

(b) 384 cm²

(c) 192 cm²

(d) 768 cm²

Q. The total surface area of a cube is 96 sq. cm. Its volume (in cu. cm) is:

1. 8
2. 64
3. 27
4. 512

Q. Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

Q. Which of the following expression gives total surface area of cube of side of length a ?

1. 6 x a x a
2. 4 x a x a
3. 5 x a x a
4. 3 x a x a

Q. What's the ratio of the lateral surface areas of the cubes if
$\frac{l_1}{l_2}=\frac{1}{2}?$
[$l_{1}and{l}_2$ are the lengths of the sides of cubes]

1. $\frac{1}{4}$
2. $\frac{1}{2}$
3. $\frac{3}{4}$
4. $\frac{1}{3}$

Q. Find the lateral surface area and the total surface area of a cube of side 8 cm.

Q.

From a corner of a cube, a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

1. Volume is constant but surface area changes

2. Volume changes but surface area is constant

3. Volume and surface area both are constant

4. Volume and surface area both change

Q.

A $3\times 3$ Rubik's cube has a total surface area of $54{\text{cm}}^2$. The area occupied by every single red tile of the cube is ___________ .

1. $0.25{\text{cm}}^2$

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

3. $1{\text{cm}}^2$

4. $9{\text{cm}}^2$

Q. For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

1. $2(lb+bh+lh)$
2. $2h(b+l)$
3. $6a^2$
4. $4a^2$

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.

Which among the following will have the largest value?

1. Surface area of a cube with side $6\text{cm}$.

2. Surface area of a cuboid with $l=7\text{cm},b=6\text{cm}$ and $h=5\text{cm}$.

3. Surface area of the walls of a cube having side $8\text{cm}$.

4. Surface area of the walls of a cuboid having $l=10\text{cm},b=5\text{cm}$ and $h=6\text{cm}$.

Q. What is the length of the side of the cube if its lateral surface area is $4{\text{cm}}^2$?

1. 1 cm
2. 4 cm
3. 2 cm
4. 3 cm

Q.

Sam's cubicle is exactly in the shape of a cube of side 6 m. If it is a closed cubicle, then the total surface area of the cubicle ignoring its thickness is _______.

1. $144m^2$ ​

2. $196m^2$ ​

3. $216m^2$ ​

4. $256m^2$ ​

Q. What is the percentage increase in the lateral surface area of a cube, if each of its side is increased by 50% ?

1. 125%
2. 25%
3. 100%
4. 135%

Q. Question) Find the volume, surface area and length of diagonal of a cube of an edge 4.5 cm.

Q. What will be the area of entire surface of a cube formed by putting 8 cubes of side 8 cm together ?

Q. Question) if the surface area of a cube is 1176 cm² , find :
(i) the length of a diagonal
(ii) volume of the cube