Year 10 Volume Worksheets (GCSE) | Printable PDFs
Year 10 Volume worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14–15 learn how to calculate the volume of pyramids, cones and spheres using the appropriate formulae. Students also investigate surface area and apply volume formulae to solve GCSE-style geometry problems. Year 10 students typically learn how to find the volume of prisms before they know how to apply the formulae for pyramids, cones and spheres.
The volume of a prism is the cross-sectional area multiplied by the depth. For example the cross-section of a cuboid is a square or a rectangle. The cross-section of a triangular prism is a triangle. If a year 10 student requires extra practice with finding the volume of a prism, you may like to try Year 9 Standard Form Worksheets instead.
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Formulae and Surface Area
Volume Calculations
For more Volume Worksheets, see Year 9 Volume Worksheets
For more Volume Worksheets, see Year 11 Volume Worksheets
Common Questions about Year 10 Volume
What is the formula for the volume of a cone?
The volume of a cone is one third of the volume of a cylinder with the same base and height: V = ⅓πr²h.How do you find the surface area of a sphere?
The surface area of a sphere is found using the formula 4πr², where r is the radius of the sphere.Why do pyramid and cone volume formulas include one third?
A pyramid or cone with the same base area and height as a prism or cylinder has exactly one third of its volume.
Year 10 Volume Common Mistakes
Common Mistake 1
A common mistake is forgetting to divide by 3 when finding the volume of a cone or pyramid.Common Mistake 2
Students often confuse volume and surface area formulas, especially when working with cones and spheres.Common Mistake 3
Another common mistake is using the diameter instead of the radius in formulas such as V = ⅓πr²h or surface area = 4πr².
Volume Worksheets - Free Worksheets Above
Formulae for Pyramids Cones and Spheres
Volume and Surface Area of Cones and Spheres
Volume of Pyramids and Cones