Here is what the KICD curriculum design asks for in Volume of Solids, with a sample lesson plan, notes and an exit check you can read before you teach. In Fuma, the same lesson comes out of your own scheme of work, starting from the lesson your class has reached and dated to your term.
Aligned to the KICD curriculum designSample — review before you teach
What learners should be able to do
Specific learning outcomes, word for word from the KICD curriculum design.
a)work out the volume of triangular and rectangular-based prisms
b)calculate the volume of a triangular, rectangular, and square-based pyramid
c)work out the volume of a cone in real-life situations
d)determine the volume of a frustum in real-life situations
e)calculate the volume of a sphere in real-life situations
f)promote the use of volume and capacity of different containers in real-life situations
Key inquiry questions
How do we determine the volume of different solids?
How do we use the volume of solids in real-life situations?
A sample lesson plan: Discovering Volume of Triangular and Rectangular-Based Prisms
This is a sample. Read it and change it for your class before you teach it. In Fuma, everything stays a draft until you approve it.
Grade 9 · Mathematics · 40 minutes
explain that the volume of a prism is the area of its base multiplied by its perpendicular height
calculate the volume of triangular and rectangular-based prisms given their dimensions
appreciate the use of prism volumes in designing everyday containers and packages
A sample lesson plan
Time
Teacher
Learners
Introduction5 min
Teacher:
Display a rectangular chalk box and a triangular prism packet.
Ask: What shapes form the bases? Name objects with same shape.
State lesson will explore volume of these prisms.
Learners:
Observe displayed objects and identify base shapes.
Mention similar objects: matchboxes, juice packets, roof trusses.
Listen as lesson outcome is shared.
Building Prisms with Unit Cubes15 min
Teacher:
Give each group a rectangular box and about 60 unit cubes.
Direct learners to cover base with one layer of cubes.
Ask: How many cubes in one layer? What area does it show?
Direct to stack three layers and count total cubes.
Ask groups to relate layers, base area and height.
Guide learners to say: total cubes = base area × number of layers.
Learners:
Place unit cubes to cover bottom of rectangular box.
Count cubes in bottom layer and record.
Stack two more layers, count total cubes.
Compare total cubes with bottom-layer count × number of layers.
Conclude total volume equals area of base times height.
Triangular Prism Volume from Area of Base10 min
Teacher:
Draw a rectangular prism and a triangular prism on board.
Shade triangular base and label base b, triangle height h, prism length L.
Ask learners to recall area of triangle and use base area × height pattern.
Work one example: triangular prism with base 6 cm, triangle height 4 cm, length 10 cm.
Ask: How would you know to use this method?
Learners:
Observe diagram and identify base and perpendicular height of triangular prism.
Calculate base area = ½ × 6 × 4 = 12 cm².
Multiply base area by length: 12 × 10 = 120 cm³.
Explain that method works because prism is stack of identical triangle layers.
Applying Volume of Prisms5 min
Teacher:
Write: rectangular soap box 20 cm by 10 cm by 8 cm. Find volume.
Write: tent, triangular base 3 m, triangle height 2 m, length 4 m. Find air space.
Ask learners to solve in pairs.
Learners:
Identify base shape and write base area formula for each problem.
Shown: the first 35 minutes of the 40-minute lesson.
Sample teaching notes
Teaching notes are for you at the board: the subject knowledge and what to watch for.
Content Mastery — What You Need to Know One Level Above Grade 9
Why volume = base area × perpendicular height — this is the idea the whole lesson rests on.
Volume measures how many unit cubes fill a solid. In the concrete activity, one layer of cubes covering the base contains exactly as many cubes as there are square units in the base area. Stacking identical layers repeats that amount. So:
- Cubes in one layer = area of the base (a 5 by 4 base holds 20 cubes, and its area is 20 square units).
- Number of layers = the perpendicular height of the prism.
- Total cubes = cubes per layer × number of layers = base area × height.
Misconceptions — What to Watch For and Exactly How to Correct It
Watch-for 1: Confusing the number of cubes along one edge with the area of the base, or using length + width instead of length × width.
This forms because the learner is still thinking in one dimension — they have counted a row of cubes and stopped. When you ask a group "how many cubes are in the bottom layer?", listen for answers like "five" or "four" (the number along one edge) rather than "twenty".
How to surface it: Ask the group to physically lift the bottom layer, count along one edge, count along a neighbouring edge, and then count the whole layer. The mismatch between 5 and 20 is the teachable moment.
A quick exit check, with answers
1.Which expression gives the volume of a prism with base area A and perpendicular height h?
A. A × h
B. A + h
C. 2 × A × h
D. A ÷ h
Show answer
A. A × h
2.A rectangular block is 8 cm long, 5 cm wide and 4 cm high. Calculate its volume.
Show answer
160 cm³
3.A triangular prism has a base that is a right-angled triangle with base 6 cm and height 4 cm. The prism is 10 cm long. (a) Find the area of the triangular base. (1 mark) (b) Hence find the volume of the prism. (2 marks)
Show answer
(a) 12 cm² (b) 120 cm³
4.A school water tank is shaped like a rectangular prism with base area 2 m² and height 1.5 m. To find its capacity in litres, multiply 2 by 1.5 to get 3 m³, then multiply by 1000. Is this correct? Explain.
Show answer
Yes, it is correct. 2 × 1.5 = 3 m³, and 1 m³ = 1000 litres, so the tank holds 3000 litres.
Outcomes and inquiry questions are quoted from the KICD curriculum design. The lesson plan, notes and exit check are Fuma's draft. Fuma is built from the KICD designs; KICD has not endorsed it.