Surface Area and Volume

Question 1

What is the formula for the surface area of a cube?

Answer 1

6a², where ‘a’ is the length of a side.

Question 2

True or False: The volume of a cylinder is given by the formula V = πr²h.

Answer 2

True.

Question 3

Fill in the blank: The surface area of a sphere is calculated using the formula _____.

Answer 3

4πr².

Question 4

What is the formula for the volume of a rectangular prism?

Answer 4

V = lwh, where ‘l’ is length, ‘w’ is width, and ‘h’ is height.

Question 5

Multiple Choice: What is the formula for the surface area of a cone? A) πr² + πrl B) 2πr² C) 3πr²

Answer 5

A) πr² + πrl.

Question 6

What does ‘r’ represent in the formulas for the surface area and volume of a sphere?

Answer 6

‘r’ represents the radius of the sphere.

Question 7

True or False: The volume of a pyramid is given by V = (1/3)Bh.

Answer 7

True.

Question 8

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

Answer 8

2πrh + 2πr².

Question 9

Fill in the blank: The volume of a sphere is given by the formula _____.

Answer 9

(4/3)πr³.

Question 10

Multiple Choice: Which formula calculates the surface area of a rectangular prism? A) 2lw + 2lh + 2wh B) πr²h C) 4/3πr³

Answer 10

A) 2lw + 2lh + 2wh.

Question 11

What is the formula for the volume of a cone?

Answer 11

V = (1/3)πr²h.

Question 12

True or False: The surface area of a sphere increases with the square of the radius.

Answer 12

True.

Question 13

What is the formula for the surface area of a triangular prism?

Answer 13

SA = bh + l(s1 + s2 + s3), where ‘b’ is the base, ‘h’ is the height, and ‘l’ is the length.

Question 14

Fill in the blank: The volume of a cylinder is given by the formula _____.

Answer 14

πr²h.

Question 15

Multiple Choice: The formula for the surface area of a cube is A) 6a² B) 2(lw + lh + wh) C) πr²

Answer 15

A) 6a².

Question 16

What does ‘h’ represent in the volume formulas?

Answer 16

‘h’ represents the height of the solid.

Question 17

True or False: The volume of a cube is calculated as V = a³.

Answer 17

True.

Question 18

What is the formula for the surface area of a hemisphere?

Answer 18

3πr².

Question 19

Fill in the blank: The volume of a triangular prism is given by the formula _____.

Answer 19

V = (1/2)bhL, where ‘L’ is the length of the prism.

Question 20

Multiple Choice: Which formula calculates the volume of a sphere? A) 4πr² B) (4/3)πr³ C) πr²h

Answer 20

B) (4/3)πr³.

Question 21

What is the formula for the surface area of a rectangular solid?

Answer 21

2(lw + lh + wh).

Question 22

True or False: The surface area of a cube is equal to the sum of the areas of all six faces.

Answer 22

True.

Question 23

What is the formula for the volume of a rectangular solid?

Answer 23

V = lwh.

Question 24

Fill in the blank: The surface area of a cone is given by _____ + _____.

Answer 24

πr² + πrl.

Question 25

Multiple Choice: What is the volume of a cylinder with radius 'r' and height 'h'? A) πr²h B) 2πrh C) 4/3πr³

Answer 25

A) πr²h.

Question 26

What does 'l' represent in the surface area formulas?

Answer 26

'l' represents the length of the solid.

Question 27

True or False: The volume of a cone is always less than the volume of the cylinder that has the same base and height.

Answer 27

True.