Prisms: Problem Solving & Reasoning
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying properties of prisms, including surface area, volume, and reasoning about their features.
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Prisms: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a rectangular prism with length 8 cm, width 5 cm, and height 10 cm.
[3 marks]2.
Find the surface area of a triangular prism with a triangular base of sides 6 cm, 8 cm, and 10 cm, and a length of 12 cm.
[4 marks]3.
A prism has a base that is a square with side length 4 cm. If the height of the prism is 15 cm, what is its volume?
[3 marks]4.
Construct a prism with a rectangular base measuring 5 cm by 7 cm and a height of 9 cm. Calculate its surface area.
[4 marks]5.
Identify the type of prism described: A prism with rectangular bases and all side faces as rectangles.
[2 marks]6.
A cylindrical water tank is replaced by a prism-shaped tank with the same volume. If the prism's base is a circle of radius 3 m and height 4 m, what is its volume?
[4 marks]7.
A triangular prism has a base with an area of 24 cm² and a length of 10 cm. What is its volume?
[3 marks]8.
Explain why the surface area of a prism depends on both the shape of its base and its height.
[3 marks]9.
Calculate the lateral surface area of a cube with side length 6 cm.
[2 marks]10.
A prism has a regular hexagonal base with side length 4 cm. The height of the prism is 10 cm. Find the volume of the prism.
[4 marks]11.
A prism's surface area is 180 cm². If the base area is 30 cm² and the height is 8 cm, what is the total lateral surface area?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet