Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > HOTS Questions: Surface Areas & Volumes
Class 9 Maths Chapter 11 HOTS Questions - Surface Areas and Volumes
Question 1. A brick measures 30 cm × 10 cm × 
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) m3 = 45 m3
Volume of 1 brick = 
∴ Required number of bricks = 
Question 2. The surface area of a cube is 
m2. Find its volume.
Hint: Total S.A. = 6(side)2 ⇒ side2 = 
÷ 6
∴ Volume = (side)3 = 
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 
metre in diameter. [Take π = (22/7) and 1l = 1000 cm]3
Hint: Radius
Volume of the hemisphere = (1/2) (volume of a sphere) = 
Volume to be emptied 
∵ 5 litres is emptied in 1 minute
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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