Long quiz 2 Special Topics

A solid metal cylinder of 10 cm height and 14 cm diameter is melted and re-cast into two cones in the proportion of 3 : 4 (volume), keeping the height 10 cm. What would be the percentage change in the flat surface area before and after?

• 9%

• 16%

• 25%

• 50%

A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after cutting?

• 4%

• 300%

• 75%

• 400%

The surface area of the three coterminous faces of a cuboid are 6, 15, 10 sq.cm respectively. Find the volume of the cuboid.

• 30cc

• 20cc

• 40cc

• 35cc

A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

• 9

• 61

• 98

• 54

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

• 30π m²

• 40π m²

• 60π m²

• 80π m²

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

• 3:7

• 7:3

• 6:7

• 7:6

Which of the following is not bounded by curved surfaces?

• Cylinders

• Cones

• Sphere

• Pyramid

Prisms’ lateral edges are:

• equal and tangent

• equal and intersect

• equal and parallel

• unequal and parallel

A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the angle subtended by the sector removed.

• 144°

• 148°

• 152°

• 154°

The altitude of the frustum of a regular rectangular pyramid is 5m the volume is 140 cu. m. and the upper base is 3m by 4m. What are the dimensions of the lower base in m?

• 9 x 10

• 6 x 8

• 4.5 x 6

• 7.50 x 10