Maths Volume & Surface Area

Question 1

Define volume.

Answer 1

The amount of space an object occupies, measured in cubic units.

Question 2

What is the formula for the volume of a cube?

Answer 2

Volume = side × side × side.

Question 3

True or false: The surface area of a shape is the total area of its outer surfaces.

Answer 3

TRUE

Question 4

What is the surface area formula for a sphere?

Answer 4

Surface Area = 4 × π × radius².

Question 5

Define prism.

Answer 5

A solid shape with two identical ends and flat sides.

Question 6

What is the volume formula for a rectangular prism?

Answer 6

Volume = length × width × height.

Question 7

True or false: The volume of a cone is less than that of a cylinder with the same base and height.

Answer 7

TRUE

Question 8

Fill in the blank: The surface area of a cube is calculated using _______.

Answer 8

6 × side²

Question 9

Define surface area.

Answer 9

The total area of all the surfaces of a three-dimensional object.

Question 10

True or false: The volume of a solid is always a positive number.

Answer 10

TRUE

Question 11

Define capacity.

Answer 11

The maximum amount that something can contain, often measured in liters.

Question 12

What is the volume of a cuboid?

Answer 12

Volume = length × width × height.

Question 13

True or false: Surface area is measured in square units.

Answer 13

TRUE

Question 14

What is the surface area of a rectangular prism?

Answer 14

Surface Area = 2(lw + lh + wh).

Question 15

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

Answer 15

Volume = base area × height.

Question 16

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

Answer 16

TRUE

Question 17

Define net in geometry.

Answer 17

A two-dimensional shape that can be folded to form a three-dimensional object.