Surface Area of Cube, Cuboid and Cylinder

IMPORTANT

Surface Area of Cube, Cuboid and Cylinder: Overview

This Topic covers sub-topics such as Lateral Surface Area of a Cylinder, Total Surface Area of a Cylinder and, Lateral Surface Area of a Solid Shape

Important Questions on Surface Area of Cube, Cuboid and Cylinder

HARD
IMPORTANT

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm height. Which box has the greater lateral surface area and by how much?

HARD
IMPORTANT

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm height. Which box has the greater lateral surface area and by how much?

HARD
IMPORTANT

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm height. Which box has the smaller total surface area and by how much?

HARD
IMPORTANT

Swetha cake shop was placing an order for making cardboard boxes for packing their cakes. Two sizes of boxes were required. The bigger box of dimensions 25 cm×20 cm×5 cm and the smaller box of dimensions 15 cm×12 cm×5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.

EASY
IMPORTANT

The sum of the two radii is 14 cm. What is the value of the external radius?

EASY
IMPORTANT

The total surface area of the cylinder is 2640 sq cm and the sum of the external and internal radii is 14 cm. If the height of the cylinder is 28 cm, what is the difference between the two radii of the cylinder?

EASY
IMPORTANT

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. To make 1000 such cans,_____ square inches of aluminum is needed.

(Use π$ =\frac{22}{7}$)

EASY
IMPORTANT

Nitesh is painting the walls of his bedroom using a paint roller. The length of the paint roller is 14 cm and the diameter of the roller is 8 cm.

If the roller rolls once, the area of the wall that it paints is _____ sq cm .

(Take $ \pi =\frac{22}{7})$

EASY
IMPORTANT

The ratio between the curved surface area and the total surface area of a right circular cylinder is

1 : 3. What is the ratio between the height of the cylinder and the radius of the cylinder?

EASY
IMPORTANT

A small scale industry plans to construct a closed cylindrical chemical tank of height 7 feet and radius 7 feet. Due to space constraints, the management decides to halve the radius and increase the height by 1.5 times. The increase in the total surface area of the new tank that is planned is _____sq feet.

(Take π$ =\frac{22}{7})$

MEDIUM
IMPORTANT

The total surface area of a solid cylinder whose radius is r and height h is equal to

EASY
IMPORTANT

In the figure below,

(1) The radius of cylinder A is half that of cylinder B.

(2) The height of cylinder B is half that of cylinder A.

 

Which of the following is correct about their surface areas?

EASY
IMPORTANT

The height of a cylinder is the same length as the circumference of its base. Its measured height is 132 cm. The surface area of the cylinder is _____$ {\text{cm}}^{2}$.

(Use π$ =\frac{22}{7}$)

HARD
IMPORTANT

This is the Children’s Factory half cylinder foam block which is used in soft play patchwork puzzles. If the radius of the foam block is r and the height of the block is h, then what is the total surface area of the foam block?

EASY
IMPORTANT

The sum of the height and the radius of the base of a right circular cylinder is 27 cm. If the total surface area of the cylinder is 2376 sq cm, then the height of the cylinder is _____ cm.

(Take $ \pi =\frac{22}{7})$

EASY
IMPORTANT

A candle mould has a circumference of 10π cm and a height of 20 cm. The candle which will be made out of this will have the surface area of _____πcm3.

EASY
IMPORTANT

The diameter of an Indian 2 rupee coin is 26 mm and thickness is 1 mm.

The area of the coin to be polished is _____ sq mm.

(Take $ \pi =\frac{22}{7})$

EASY
IMPORTANT

The radius and height of a right circular cylinder closed at both ends are 12 cm and 16 cm. If the radius is decreased by 25% and the height is increased by 25%, then the surface area of the new cylinder decreases by _____ sq cm.

(Take $ \pi =\frac{22}{7}$, give answer to 1 decimal place)

EASY
IMPORTANT

The height and the radius of a cylinder are equal. The cylinder has a surface area of 113.04 square feet. The height of the cylinder is_____ feet.

(Use π= 3.14 )

EASY
IMPORTANT

The surface area of a cylinder is 408.2 square feet. The area of one of the bases is 78.5 square feet. The height of the cylinder is _____ feet.

(Use π= 3.14 )