Prisms: Real-world Applications
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the properties and applications of prisms in real-world contexts, designed for GCSE Higher students.
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Full preview • 11 questions
Prisms: Real-world Applications
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key formulas for prisms: Surface Area = (Perimeter of base × height) + 2 × area of base; Volume = area of base × height.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a rectangular prism with a length of 8 cm, a width of 5 cm, and a height of 10 cm.
[2 marks]2.
Find the surface area of a triangular prism with a base area of 12 cm², a height of 15 cm, and a length (length of the prism) of 20 cm. Assume the perimeter of the triangular base is 18 cm.
[3 marks]3.
A cylindrical water tank is replaced by a prism-shaped tank with the same volume. If the original cylinder has a radius of 4 m and height of 10 m, what is the height of the new prism if its base area is 50 m²?
[3 marks]4.
Construct a rectangular prism on the grid with dimensions 6 cm by 4 cm by 9 cm. Show all relevant measurements.
[3 marks]5.
Calculate the lateral surface area of a prism with a base perimeter of 24 cm and a height of 7 cm.
[2 marks]6.
A prism has a base area of 45 cm² and a height of 12 cm. What is its volume?
[2 marks]7.
A prism's surface area is 250 cm². If the base perimeter is 30 cm and the area of the base is 50 cm², find the height of the prism.
[3 marks]8.
A classroom has a rectangular prism-shaped storage cabinet measuring 2 meters by 0.75 meters by 1.8 meters. Calculate its total surface area.
[3 marks]9.
Determine the volume of a prism that has a triangular base with sides 5 cm, 7 cm, and 8 cm, and a height of 10 cm. Assume the base area is 17.5 cm².
[3 marks]10.
A challenge: A prism's surface area is 300 cm², and its base perimeter is 40 cm. If the height is doubled, what will be the new surface area? Explain your reasoning.
[4 marks]11.
Error Identification: A student calculates the volume of a prism as 240 cm³ using the formula volume = base area × height, but their base area is incorrectly calculated as 20 cm² and height as 12 cm. Identify the mistake and correct it.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet