Chapter 3: Surface Area and Volume

Question 1

What is the area of a trapezium?

Answer 1

A = 1/2 x Height x (a + b)

Question 2

What is the area of a rhombus?

Answer 2

A = height x length

Question 3

What is the surface area?

Answer 3

The area of all the faces of a prism.

Question 4

How do you find the surface area of a cylinder?

Answer 4

SA = 2 x pi x r^2 + 2 x pi x r x h

Question 5

How do you find volume?

Answer 5

Volume is the area of a shape multiplied by its perpendicular height.

Question 6

What does 1 cubic centimetre equate to in litres?

Answer 6

1cm^3 = 1mL

Question 7

What does 1 cubic metre equate to in litres?

Answer 7

1m^3 = 1kL

Question 8

How can we calculate capacity?

Answer 8

Capacity measures the amount of fluid that can be placed into a solid. It is done by converting the cubic metres to litres.

Question 9

What is the area of a triangle?

Answer 9

A = 1/2 x base x height

Question 10

What is the area of a square?

Answer 10

A = Length x height.

Question 11

What is the area of a rectangle?

Answer 11

A = Length x height.

Question 12

What is the area of a circle?

Answer 12

A = pi x r^2

Question 13

What is the area of a semicircle?

Answer 13

A = 1/2 pi x r^2

Question 14

What is the area of a quadrant?

Answer 14

A = x/360 pi x r^2

Question 15

What is the area of a quarter?

Answer 15

A = 1/4 pi x r^2

Question 16

What is a cross section?

Answer 16

The part of a prism or 3d object in which a face is revealed upon cutting into it. In other word, the cross section is the face in between the two faces at the start and end of the shape.

Question 17

What is a closed solid?

Answer 17

A prism or shape in which all sides are closed.

Question 18

What is an open side?

Answer 18

A prism or shape where one or more faces are open.

Question 19

What are net drawings?

Answer 19

The visual representation of a shape that has been unfolded.

Question 20

What is the surface area of a closed cylinder?

Answer 20

A = 2 * pi * radius^2 + 2 * pi * radius * height.

Question 21

What is the surface area of a rectangular prism?

Answer 21

2(length * height) + 2(height * breadth) + 2(length * depth)

Question 22

What is the surface area of a cube?

Answer 22

6(length * height)

Question 23

What is the surface area of a triangular prism?

Answer 23

2(1/2 * base * height) + (length * depth) + (height * depth) + (hypotenuse * depth)

Question 24

What is the surface area of a trapezoidal prism?

Answer 24

2(1/2(base1 + base2) * 12) + (depth * height) + (base1 * depth) + (base2 * depth) + (edge * depth)

Question 25

How do you find the surface area of an open cylinder?

Answer 25

(2 * pi * radius * height)

Question 26

How do you find the surface area of a semi circle?

Answer 26

2(1/2 * pi * radius^2) + (1/2 * 2 * pi * radius * height)

Question 27

How do you find the area of a polygon?

Answer 27

Split the polygon into two composite shapes and discover the surface area of each. Add them together or subtract from each other to find the surface area.

Question 28

How do you find the volume of a square/rectangle?

Answer 28

width * height * depth

Question 29

How do you find the volume of a cylinder?

Answer 29

pi * radius^2 * perpendicular height

Question 30

How do you find the volume of a prism?

Answer 30

Area of shape * depth.

Question 31

How do you find the volume of a triangular prism?

Answer 31

(1/2 * base * height) * depth

Question 32

1 cm^3 equates to what in litres?

Answer 32

millilitres

Question 33

1 m^3 equates to what in litres?

Answer 33

Kilolitres