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Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

Question 1. A brick measures 30 cm × 10 cm × Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes cm. How many bricks will be required for a wall 30 m long, 2 m high and (3/4)m thick?

Hint: Volume of wall (cuboid) = 30 × 2 × (3/4) m= 45 m3
Volume of 1 brick  = Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

∴ Required number of bricks = Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes


Question 2. The surface area of a cube is Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumesm2. Find its volume.
 Hint: 
Total S.A. = 6(side)2 ⇒ side2 = Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes ÷ 6

Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

∴ Volume = (side)Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes


Question 3. A hemispherical tank is emptied by a pipe at the rate of 5 litres per minute. How long will it take to half-empty the tank if it is Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes metre in diameter. [Take π = (22/7) and 1l = 1000 cm]3

Hint: RadiusClass 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

Volume of the hemisphere = (1/2) (volume of a sphere) =  Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

Volume to be emptied  Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

∵ 5 litres is emptied in 1 minute

Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes
Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

The document Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes

1. What is the formula for finding the surface area of a cube?
Ans. The formula for finding the surface area of a cube is 6a^2, where "a" represents the length of one side of the cube.
2. How do you calculate the total surface area of a cylinder?
Ans. The total surface area of a cylinder can be calculated using the formula 2πr(r+h), where "r" represents the radius of the base and "h" represents the height of the cylinder.
3. What is the formula for finding the volume of a sphere?
Ans. The formula for finding the volume of a sphere is (4/3)πr^3, where "r" represents the radius of the sphere.
4. How can I find the surface area of a cone?
Ans. The surface area of a cone can be found using the formula πr(r + l), where "r" represents the radius of the base and "l" represents the slant height of the cone.
5. What is the formula for calculating the volume of a rectangular prism?
Ans. The formula for calculating the volume of a rectangular prism is lwh, where "l" represents the length, "w" represents the width, and "h" represents the height of the prism.
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