Area of Cross-section × Length: Fluency & Practice

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating the volume of prisms using the area of cross-section multiplied by length, designed for Year 9 students to develop procedural fluency and problem-solving skills.

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Full preview • 11 questions

Area of Cross-section × Length: Fluency & Practice

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 a cross-sectional area of 20 cm² and a length of 15 cm.
[2 marks]
2.
A triangular prism has a cross-sectional area of 12 cm² and a length of 10 cm. Find its volume.
[2 marks]
3.
A prism has a cross-sectional shape of a circle with radius 3 cm. If the length of the prism is 20 cm, what is its volume? (Use π ≈ 3.14)
[3 marks]
4.
Construct a rectangular prism on the grid with a cross-sectional area of 24 cm² and a length of 8 cm. Show the dimensions you choose.
[3 marks]
5.
A prism with a rectangular cross-section measures 5 cm by 8 cm, and its length is 12 cm. Calculate its volume.
[2 marks]
6.
A cylindrical prism has a height of 15 cm and a base radius of 4 cm. Find its volume, given π ≈ 3.14.
[3 marks]
7.
Calculate the volume of a prism with a cross-sectional area of 45 cm² and a length of 7 cm.
[2 marks]
8.
A compound prism consists of two rectangular prisms joined together. The first has a cross-sectional area of 20 cm² and length 10 cm; the second has a cross-sectional area of 15 cm² and length 12 cm. Find the total volume.
[4 marks]
9.
A prism with a triangular cross-section has a base of 6 cm, height of 4 cm, and length 10 cm. Calculate its volume.
[3 marks]
10.
A student mistakenly calculates the volume of a prism as 250 cm³ when the cross-sectional area is 25 cm². What should be the correct length if the cross-section area and volume are accurate?
[3 marks]
11.
Plot the graph of y = 2x for x values from 0 to 10. Use the grid to sketch the line.
[3 marks]

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Details

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