Surface Area and Volume

Math ⇒ Geometry

Surface Area and Volume starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Surface Area and Volume. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 8

A cylinder has a surface area of 150 cm² and a height of 5 cm. If the radius is r, write the equation to find r.

The surface area of a cylinder with radius r and height h is given by which formula?

What is the formula for the surface area of a cube with side length a?

Explain why the surface area to volume ratio decreases as the size of a sphere increases.

A cone has a base area of 28 cm² and a height of 6 cm. What is its volume?

A cone has a base radius of 3 cm and a height of 4 cm. What is its volume? (Use π = 3.14)

A cone has a volume of 100 cm³ and a base area of 25 cm². What is its height?

A cube has a side length of 2.5 cm. What is its volume?

The surface area of a sphere is given by which formula? (1) 4πr² (2) 2πr (3) πr² (4) 2πr²

Which formula is used to calculate the lateral surface area of a cylinder? (1) 2πrh (2) 2πr² (3) πrl (4) 4πr²

Which of the following is NOT a property of a sphere? (1) Has no edges (2) Has no vertices (3) Has only one face (4) Has six faces

Which of the following is NOT a unit for measuring volume? (1) cm³ (2) m² (3) L (4) mm³

Fill in the blank: The formula for the volume of a sphere is _________.

Fill in the blank: The lateral surface area of a cone is _________.

Fill in the blank: The total surface area of a cube is ________ times the area of one face.

Fill in the blank: The total surface area of a rectangular prism is _________.

The volume of a cone is one-third the volume of a cylinder with the same base and height. True or False?

True or False: The surface area of a cube increases as the length of its side increases.

True or False: The surface area of a cylinder includes the areas of both circular bases and the curved surface.

True or False: The surface area of a sphere is less than the surface area of a cube with the same volume.