Cuboid: Challenge & Extension

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the properties, surface area, and volume of cuboids, designed to challenge GCSE Higher students with a variety of problem types.

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Cuboid: Challenge & Extension

Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cuboid with length 8 cm, width 5 cm, and height 3 cm.
[2 marks]
2.
Find the surface area of a cuboid with dimensions 10 cm, 4 cm, and 6 cm.
[3 marks]
3.
A rectangular box has a volume of 240 cm³. If its length is 10 cm and width is 4 cm, what is its height?
[2 marks]
4.
Construct a cuboid on the grid with dimensions 6 cm by 3 cm by 4 cm. Label the length, width, and height.
[3 marks]
5.
Calculate the surface area of a cuboid with dimensions 12 cm, 7 cm, and 5 cm.
[3 marks]
6.
A storage box measures 15 cm by 10 cm by 8 cm. If the box is filled with a liquid, how much liquid (in cm³) can it hold?
[2 marks]
7.
A cuboid has a surface area of 200 cm². If the length and width are both 5 cm, what is its height?
[3 marks]
8.
A rectangular prism has length 9 cm, width 4 cm, and height 3 cm. Calculate its surface area and volume. Show your working.
[4 marks]
9.
A cube-shaped box has a volume of 64 cm³. Verify whether it is a cube, and if so, find its side length.
[3 marks]
10.
A company orders cuboid boxes with length 20 cm, width 15 cm, and height 10 cm. Due to a packaging mistake, some boxes are made with a height of 8 cm instead of 10 cm. What is the percentage decrease in volume?
[4 marks]
11.
Identify and correct the error in the following statement: "A cuboid with dimensions 5 cm, 4 cm, and 3 cm has a surface area of 94 cm²."
[3 marks]

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Details

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