Prisms: Challenge & Extension

Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet exploring various aspects of prisms, including surface area, volume, and real-world applications, designed for extension and challenge.

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Full preview • 10 questions

Prisms: Challenge & Extension

Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet

Grade Grade 7
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.
[2 marks]
2.
Find the surface area of a triangular prism with a base area of 12 cm², lateral edges of 7 cm, and height of 10 cm.
[3 marks]
3.
Construct a prism with a square base of side 6 cm and a height of 15 cm. Calculate its volume.
[3 marks]
4.
A prism has a length of 12 cm, a width of 4 cm, and a height of 9 cm. What is its volume?
[2 marks]
5.
Identify the error in the following calculation: A cube with side 6 cm has a surface area calculated as 6 × 6 × 6 = 216 cm².
[2 marks]
6.
A rectangular prism has a volume of 240 cm³. If the width is 5 cm and the length is 8 cm, what is the height?
[2 marks]
7.
A prism’s lateral surface area is 94 cm², and its base area is 30 cm². Its height is 7 cm. Find the perimeter of the base.
[3 marks]
8.
A triangular prism has a base perimeter of 18 cm, a height of 10 cm, and a slant height of 12 cm. Calculate its volume, given the base area is 30 cm².
[4 marks]
9.
Plot the graph of y = 2x for x values from -5 to 5 on the grid.
[2 marks]
10.
Construct a rectangular prism with a length of 10 cm, width of 4 cm, and height of 6 cm. Label the vertices clearly.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet