T1-L10: Perimeter, Area, Volume & Capacity

Learning Intention

We are learning to calculate perimeter, area, volume and other measurements used in engineering.

Success Criteria

I can calculate the perimeter and area of rectangles
I can calculate volume using L × W × H
I can convert between mL and litres
I can apply measurement skills to solve real problems

✎

Do Now

What is the difference between perimeter and area?

Hint: One is about the outside, the other is about the inside.

📚

Key Vocabulary

Standard: Fill in the definition. | Support: Definitions shown in grey — read and copy into your folio. | Extension: Use each term in a sentence.

Term	Definition	Use in a sentence (Extension)
Perimeter	Total distance around the outside of a shape (cm, m)
Area	Space inside a flat 2D shape (cm², m²)
Volume	Space inside a 3D object (cm³, m³)
Capacity	How much liquid a container can hold (mL, L)
Mass	Amount of matter in an object (grams, kilograms)
Conversion	Changing from one unit to another (e.g. mL to L)
Formula	A rule written with letters and numbers (e.g. A = L × W)

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Key Formulas

Perimeter

P = 2 × (L + W)

Add all sides (like a fence)

Units: cm, m

Area

A = L × W

Space inside (like carpet)

Units: cm², m²

Volume

V = L × W × H

3D space (like water in a tank)

Units: cm³, m³

Capacity: 1 cm³ = 1 mL | 1,000 mL = 1 L | 1,000 cm³ = 1 L

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Activity 1: Measure Your Desk (Folio pp. 40–41)

Measure your desk and calculate the perimeter and area. Show ALL working!

Measurement	Your working	Answer
Length (L)
Width (W)
Perimeter
Area

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Activity 2: Volume of a Box (Folio pp. 42–43)

Find a small box. Measure L, W, and H. Calculate volume and convert to capacity.

Measurement	Your working	Answer
Length (L)		cm
Width (W)		cm
Height (H)		cm
Volume
Capacity

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Activity 3: Capacity Conversions (Folio p. 43)

#	Problem	Your answer (show working)
a	750 mL = ___ L
b	How many 750 mL bottles to make 3 L?
c	A container holds 2,500 cm³. Capacity in litres?
d	A fish tank is 40 cm × 20 cm × 30 cm. How many litres?

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Challenge: How Many Desks Fit? (Folio pp. 46–47)

A classroom is 8 m long and 6 m wide. Each desk needs 1.2 m² of floor space.

#	Question	Your answer (show working)
a	What is the area of the classroom?
b	Maximum number of desks that can fit?
c	In practice, would you fit that many? Why not?

🔵 Support — Formula Reference Card

Perimeter

P = 2(L + W)

ADD sides

Area

A = L × W

MULTIPLY sides

Volume

V = L × W × H

MULTIPLY 3 sides

Remember

Perimeter = fence (cm)Area = carpet (cm²) Volume = water (cm³)1 cm³ = 1 mL1,000 mL = 1 L

🟠 Extension — Engineering Calculations

Surface Area: SA = 2(LW + LH + WH). Calculate the surface area of your box.

Same perimeter, different area: If P = 48 cm, what dimensions give the MAXIMUM area? Try at least 3 rectangles.

Length	Width	Perimeter	Area
		48 cm
		48 cm
		48 cm

Conclusion: Which shape gives the maximum area?

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Exit Ticket — Reflection

1. Calculate the AREA of a rectangle that is 8 cm long and 5 cm wide. Show your working and include the correct units.

2. BONUS: What is the perimeter of the same rectangle?

Success Criteria	Got it 🟢	Nearly there 🟠	Need help 🔴
I can calculate the perimeter and area of rectangles	●	●	●
I can calculate volume using L × W × H	●	●	●
I can convert between mL and litres	●	●	●
I can apply measurement skills to solve real problems	●	●	●