The edge of a cube is 10.5 mm. Find its total surface area in cm². 

2

(a)

If the length of the diagonal of a cube is \(6\sqrt { 3 } \) cm, find the edge of the cube.

2

(a)

The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 20 cm. Find the surface area of the cuboid.

2

(a)

The floor of a rectangular hall has a perimeter of 250 m and its length and breadth are in the ratio of 13: 12. If the cost of painting the four walls and ceiling at the rate of Rs. 5 per m² is Rs.27000, find the height of the hall.

2

(a)

A right circular cylinder is 3 m high and the circumference of its base is 22 m.Find its curved surface area.

2

(a)

The diameter of a circular wall is 4.5 m and its depths is 14 m.Find the cost of cementing the inner surface of the wall at Rs. 120 per sq. m.

2

(a)

What is the radius and curved surface of a cone made from a quadrant of a circle of radius 28 cm?

2

(a)

The radius and height of a right circular cone are in the ratio 4 : 3. If the area of the base of the cone is 154 cm², find the area of its curved surface. \(\left[ Use\ \pi =\frac { 22 }{ 7 } \right] \)

2

(a)

Find the surface area of a sphere of radius 7 cm.

2

(a)

Find
(i) the curved surface area and
(ii) the total surface area of a hemisphere of radius 21 cm.

2

(a)

A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs 5 per 100 cm². \(\left( Take\ \pi =\frac { 22 }{ 7 } \right) \)  

2

(a)

The length of a room is double its breadth. Its height is 3 m. The area of the four walls excluding a door of dimensions 4 m \(\times \) 2 m is 100 m². Find its volume.

2

(a)

A storage tank is in the form of a cube, when full has the volume of water as 15.625 m³. If the present depth of water is 1.3 m, find the volume of water already used from the tank.

2

(a)

The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?

2

(a)