Surface Area of Cube

Q. If each edge of a cube is increased by 100% then percentage increase in its surface area =

1. 400 %
2. 300 %
3. 200 %
4. 100 %

Q.

There is a slide in a park. One of its side walls has been painted in some colour with a message "Keep the park green and Clean". If sides of the wall are 15m, 11 m and 6 m, the area painted in colour is________.

1. 20√6 m²

2. 20√3 m²

3. 20 √2 m²

4. 10 √2 m²

Q. Three cubes each of volume 125 cm³ are joined end-to-end to form a cuboid. Find the total surface area of cuboid.

Q.

Question 8
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 $c{m}^3$. Check whether she is correct, taking the above as the inside measurements, and $\pi =3.14$.

Q.

The surface area of a cube of edge 1.5 cm is

1. 9 cm²

2. 9.50 cm²

3. 13.50 cm²

4. 15.50 cm²

Q.

A cubical box has each edge $10cm$ and another cuboidal box is $12.5cm$ long, $10cm$ wide and $8cm$ high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

Q. Total surface area of a cube is 1350 sq. cm. Find the edge of the cube.

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

Q. Find the lateral surface area and total surface area of a cube of edge 10 cm.

Q.

The surface area of a cube of edge 1.5 cm is

1. 15.50 cm²

2. 9.50 cm²

3. 9 cm²

4. 13.50 cm²

Q.

The surface area of a cube of edges 0.1 m.

1. 0.06 m²

2. 0.10 m²

3. 0.10 m²

4. 0.08 m²

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

(a) 50%

(b) 75%

(c) 100%

(d) 125%

Q. Find the edge of a cube whose surface area is 432 m².

Q.

The area of a cuboidal box with square base of edge 4.2 cm and height 10 cm is

1. 20328 cm²

2. 2032.8 cm²

3. 2.0328 cm²

4. 203.28 cm²

Q.

The surface area of a cube of edges 0.1 m.

1. 0.07 m²

2. 0.10 m²

3. 0.08 m²

4. 0.06 m²

Q. The radius of a spherical balloon increases from $7cm$ to $14cm$ as air is being pumped into it. Find ratio of surface areas of the balloon in the two cases.

Q.

The diameter of a copper sphere is 18 cm, It melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find its diameter.

Q. If each edge of a cube is increased by 50%, then the percentage increase in its surface area is
(a) 50%
(b) 75%
(c) 100%
(d) 12%

Q. The inner radius of a hollow iron sphere is 9 cm. If iron is 1 cm thick, volume of iron used to make the ball =

1. 1134.59 cm${}^3$
2. 1156.08 cm${}^3$
3. 1133.58 cm${}^3$

Q.

The inner radius of a hollow iron sphere is $9cm$. If iron is $1cm$ thick, find the volume of iron used to make the ball.

1. 1155.08 cm³

2. 1156.08 cm³

3. 1134.59 cm³

4. 1133.58 cm³

Q.

Outer surface area of a hollow iron sphere is $1256c{m}^2$. If thickness of iron is $1cm$, find the volume of air filled inside the ball.

1. 3052.08 cm³
2. 3051.08 cm³
3. 3053.08 cm³
4. 3054.08 cm³

Q. The inner radius of a hollow iron sphere is 9 cm. If iron is 1 cm thick, volume of iron used to make the ball =

1. 1156.08 cm${}^3$
2. 1133.58 cm${}^3$
3. 1134.59 cm${}^3$

Q. The inner radius of a hollow iron sphere is 9 cm. If iron is 1 cm thick, volume of iron used to make the ball =

1. 1133.58 cm${}^3$
2. 1156.08 cm${}^3$
3. 1134.59 cm${}^3$

Q. Three cubes each of volume 125 cm³ are joined end-to-end to form a cuboid. Find the total surface area of cuboid.

Q. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm${}^3$?

Q.

The diameter of a copper sphere is 18 cm, It melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find its diameter.

Q. Question 9 (i)
Twenty-seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the
(i) radius r' of the new sphere.

Q. The area of a square is 64 sq. m. Find the total surface area of a cube formed by such a square.

1. 462 sq. m
2. 481 sq. m
3. 384 sq. m
4. 348 sq. m

Q. The inner radius of a hollow iron sphere is 9 cm. If iron is 1 cm thick, volume of iron used to make the ball =

1. 1133.58 cm${}^3$
2. 1134.59 cm${}^3$
3. 1156.08 cm${}^3$

Q. If each side of a cube is increased by 25% find the percentage increase in its surface area