L036 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
A closed cuboid has volume 120 cm³ and dimensions 4 cm by 5 cm by h. Find h and surface area.
h=6 cm; SA=2(20+24+30)=148 cm².
A cylinder has radius r and height 2r. Express its total surface area and volume in terms of r.
SA=2πr²+4πr²=6πr²; V=2πr³.
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.
I selected the correct geometric fact, theorem, formula or transformation and used a clear diagram with appropriate labels and units.
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: 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.