Perimeter, area and volume

Question 1

Explain in words what the perimeter of a shape is?

Mathematically what operation are we using to find the perimeter?

Answer 1

It is the distance around a shape ie. it is the sum of all the lenghts of the sides of the shape.

Remember mathematically you are always adding lengths.

Question 2

Area is the amount of space within side a shape.

Mathematically what operation are we using to find the area of a shape?

Answer 2

Mathematically we are multiplying the sides (generally 2 sides) to find the area.

Question 3

What is the formula for the area of a rectangle?

Answer 3

Area of a rectangle =length x breath (or height)

Question 4

What is the formula for the area of a square?

Answer 4

Because a square has four equal sides the formula becomes

A = l x l = l²

Question 5

What are examples of units for area?

Extention: one hectare (ha) = ? m²

Answer 5

mm²

cm²

m²

Km²

One hectare = 10 000m²

Question 6

What mathematical operation do you use to find the side a square if you are given its area?

Answer 6

Take the square root of its area.

Eg what is the side of a square if its area = 81cm²

l² = 81

l =√81

l = 9cm

Question 7

What is the formula for the are of a traingle?

Answer 7

Area = 1/2 base x height

= 1/2 bh

Hint: the area is always 1/2 that of rectangle

Question 8

What is the area of parallelogram?

Answer 8

Area = base x perpendicular height

A = bh

Question 9

When doing area problems and a drawing is not provided always….

Answer 9

always draw a diagram and label the drawing with information form the question.

Question 10

What are the units for

1. perimeter …..
2. area …………..
3. Volume ……….

Answer 10

Perimeter are mm, cm, m , km

Area are mm², cm², m², km²

volume are mm³, cm³, m³, km³

Can you see the difference?

Question 11

The formula for the volume of a rectangular prism is ….

Answer 11

v =length x breath x height

V = lbh

Question 12

What are we talking about when we use the word Capacity?

what is the basic unit for capacity?

Answer 12

it is another word for volume of liquids?

the basic unit is the litre (L)

Question 13

1000mL =

1000 L =

1000 kL =

Answer 13

1000mL = 1 L

1000L = 1 kL (kilolitre)

1000kL = 1ML (megalitre)

1 megalitre = 1 000 000L

Question 14

How are capacity of liquids and volume of solids linked

1 mL = ….cm³

1L = …….cm³

1 m³ = ….kL

what does cc stand for?

Answer 14

1mL = 1 cm³

1L = 1000cm³

1m³ = 1kL

cc stands for cubic centimetre