Points locked

Surface area and volume

L036 · GCSE Mathematics 1MA1 · 60 minutes · NC/C questions labelled

Objective: Find surface area and volume using appropriate nets and formulae, and explain the difference between exposed area and capacity.

Connect & Check · 5 min

Baseline

C1 [NC] Cuboid 8 cm × 5 cm × 3 cm: volume?

C2 Explain the difference between surface area and volume, including units.

Share · 5 min

Choose your route

Present · 12 min

Models

P1 Complete the cuboid calculation.

P2 [C] r=4, h=9: write exact TSA and volume.

Apply · 25 min

Supported → independent

A1 [NC] 10×6×4 cuboid: total surface area.

A3 [C] Closed cylinder r=3.5, h=12: TSA and volume to 1 d.p.

A4 [NC] Open-top box 12×8×5: exposed surface area and capacity.

E1 [C] Explain why 2πrh is incomplete for a closed cylinder, then solve for r=5, h=7.

Recall & Review · 8 min

Fresh exit evidence

Closed cuboid 9×4×2: find total surface area and volume, with units.

WWW

EBI

Points and self-check

Complete every stage to unlock your points and answer prompts.

Recall & Review: feedback and extension integration

Lesson L036: Surface area and volume

Objective: Find surface area and volume using appropriate nets and formulae.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I selected the correct geometric fact, theorem, formula or transformation and used a clear diagram with appropriate labels and units.

Even Better If (EBI)

I will name the fact or theorem, show the substitution or construction step and check whether the size, direction and units of the result are reasonable.

Stretch and deep challenge

Stretch: A closed cuboid has volume 120 cm³ and dimensions 4 cm by 5 cm by h. Find h and surface area.

Deep challenge: A cylinder has radius r and height 2r. Express its total surface area and volume in terms of r.