Area, Perimeter & Volume

Question 1

What is the length of the minute hand of a clock?

Answer 1

49mm

Question 2

How far does the tip of the minute hand travel in 15 minutes?

Answer 2

1/4 of the circumference

Question 3

How far does the tip of the minute hand travel in 45 minutes?

Answer 3

3/4 of the circumference

Question 4

How far does the tip of the minute hand travel in 50 minutes?

Answer 4

5/6 of the circumference

Question 5

What is the total distance the minute hand passes over in 3 hours?

Answer 5

3 complete circumferences

Question 6

What is the volume of water poured into a rectangular tank?

Answer 6

33 litres

Question 7

What are the dimensions of the rectangular tank?

Answer 7

• Length: 55 cm
• Width: 48 cm

Question 8

What is the hint given for converting volume?

Answer 8

1 ml = 1 cm³

Question 9

What is an arc in relation to a circle?

Answer 9

Part of the circumference of a circle

Question 10

What is the area bounded by two radii and an arc called?

Answer 10

Sector

Question 11

What is the formula for the length of arc LM?

Answer 11

360 X md / x Tr

Question 12

What is the formula for the area of sector LOM?

Answer 12

360 X mr²

Question 13

Find the length of arc AB given a radius of 10 cm and an angle of 60°.

Answer 13

Length of arc AB = (60/360) * 2π*10

Question 14

What do you need to calculate to find the perimeter of sector AOB?

Answer 14

Length of arc AB + 2 * radius

Question 15

What is a prism?

Answer 15

A solid shape with a constant cross section

Examples of prisms include rectangular prisms, triangular prisms, etc.

Question 16

What is the formula for the volume of a prism?

Answer 16

Volume = A × h, where A is the area of the cross section and h is the height

This formula applies to all types of prisms.

Question 17

If the area of the cross section is 60 m² and the height is 15 m, what is the volume of the prism?

Answer 17

900 m³

Calculation: 60 × 15 = 900.

Question 18

What is the total surface area of a prism?

Answer 18

The sum of the areas of all its faces

This includes lateral and base areas of the prism.

Question 19

Calculate the total surface area of a prism with dimensions 2 cm, 4 cm, and 3 cm.

Answer 19

156 cm²

Calculation: Surface area = 2(2 × 4 × 3) + (12 × 4) + (12 × 5) + (12 × 3) = 156.

Question 20

What is the formula for the total surface area of a cylinder?

Answer 20

Total surface area = dh + 2πr²

d is the diameter, h is the height, and r is the radius of the cylinder.

Question 21

Find the volume of a prism with a height of 9 m and an area of cross section of 12 m².

Answer 21

108 m³

Calculation: Volume = 12 × 9 = 108.

Question 22

Fill in the blank: The total surface area of a cylinder is calculated using the formula _______.

Answer 22

dh + 2πr²

Question 23

True or False: The surface area of a prism includes only the lateral area.

Answer 23

False

The surface area includes both lateral and base areas.

Question 24

What measurements are used for calculating the surface area and volume of prisms and cylinders?

Answer 24

All measurements are in centimeters

This is crucial for consistent units in calculations.