Perimeter
What is Perimeter?
The total distance around the outside edge of a two-dimensional shape.
What is Area?
The amount of space inside the boundary of a two-dimensional shape, measured in square units.
What is Volume?
The amount of space occupied by a three-dimensional object, measured in cubic units.
Volume is the total amount of space an object occupies
What is Capacity?
The maximum amount a container can hold, usually measured in units of liquid volume (like litres or millilitres).
Capacity is the amount a container can hold
Mia is building a rectangular garden that is 4.5 metres long and 2.75 metres wide.
She wants to put a fence around the entire garden.
What is the total length of fencing she will need?
Perimeter = 2 × (4.5 + 2.75) = 2 × 7.25
= 14.5 m
An L-shaped figure has the following outer side lengths: 10 cm, 5 cm, 4 cm, 3 cm, 6 cm, and 7 cm.
What is the perimeter?
P = 10 + 5 + 4 + 3 + 6 + 7
= 35 cm
A parallelogram has a base of 9 cm and a height of 4 cm.
What is the area?
A = base × height = 9 × 4
= 36 cm²
A box has a length of 10 cm, width of 4 cm, and height of 6 cm.
What is the volume?
V = length × width × height = 10 × 4 × 6
= 240 cm³
A jug holds 1.5 L of juice. Another jug holds 750 mL.
How much juice is there in total?
1.5 L = 1500 mL → 1500 + 750
= 2250 mL or 2.25 L
A classroom whiteboard measures 1.2 metres high and 2.4 metres wide.
What is the total area of the whiteboard in square metres?
Area = 1.2 × 2.4
= 2.88 m²
Each side of a regular hexagon measures 7 cm.
What is the perimeter?
P = 6 × 7
= 42 cm
The base of a parallelogram is 7.5 cm and its height is 6 cm.
What is the area?
A = base × height = 7.5 × 6
= 45 cm²
A cube has side lengths of 7 cm.
What is the volume?
V = side³ = 7 × 7 × 7
= 343 cm³
You have a 5 L container of water.
You want to fill 600 mL bottles.
How many full bottles can you fill?
5 L = 5000 mL → 5000 ÷ 600
= 8 full bottles (remainder 200 mL)
A fish tank is 60 cm long, 30 cm wide, and 40 cm high.
How much water can the tank hold in cubic centimetres (cm³)?
Volume = 60 × 30 × 40
= 72,000 cm³
A shape made from two joined rectangles has the following sides: 12 cm, 4 cm, 6 cm, 4 cm, 6 cm, 8 cm.
What is the perimeter?
P = 12 + 4 + 6 + 4 + 6 + 8
= 40 cm
A shape is made of two rectangles:
Rectangle A: 6 cm × 4 cm
Rectangle B: 3 cm × 2 cm
What is the total area?
A = (6 × 4) + (3 × 2) = 24 + 6
= 30 cm²
One box is 5 cm × 4 cm × 3 cm. Another is 4 cm × 4 cm × 2 cm and stacked on top.
What is the total volume?
V = (5×4×3) + (4×4×2) = 60 + 32
= 92 cm³
A milk bottle holds 1.25 L, and a juice bottle holds 950 mL.
Which holds more and by how much?
1.25 L = 1250 mL → 1250 – 950
= 300 mL more milk
A sports drink container holds 2.4 litres.
If each drink bottle takes 300 mL, how many full bottles can be filled from the container?
2.4 L = 2400 mL → 2400 ÷ 300
= 8 bottles
A triangle has two known sides of 11 cm and 9 cm. The total perimeter is 30 cm.
What is the number of the missing side?
11 + 9 + ? = 30 → ?
= 10 cm
A large rectangle is 12 cm by 8 cm. A smaller rectangle (cut-out) of 4 cm by 2 cm has been removed from it.
What is the area of the remaining shape?
A = (12 × 8) – (4 × 2) = 96 – 8
= 88 cm²
A large box is 12 cm × 6 cm × 5 cm. A smaller box (cut out) is 4 cm × 3 cm × 2 cm.
What is the remaining volume?
V = (12×6×5) – (4×3×2) = 360 – 24
= 336 cm³
A tank holds 12 L of water.
You fill it using a 1.5 L jug.
How many full jugs will it take?
12 ÷ 1.5
= 8 jugs
7BTA is organising a school sports day and is filling 330 mL drink bottles from a large 12-litre water container.
How many full bottles can they fill, and how much water will be left over in the container?
They can fill 36 full bottles, and there will be 120 mL of water left over.