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Help your students prepare for their Maths GCSE with this free surface area of cones worksheet of 34 questions and answers
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Surface area is a measure of the total area of all of the faces of a 3D shape. A cone has two faces, a circular base and a curved face. We know that the area of a circle is given by Οr^2 Β where r is the radius of the circle. To find the curved surface area of a cone, also called the lateral surface area, we use the formula text{curved surface area} = Οrl where r is the radius of the base and l is the slant height of the cone. Note that the slant height is different to the perpendicular height of the cone.Β
To find the total surface area of the cone, we add together the area of the two faces to get text{Surface Area} = Οrl times Ο(r^2) .
Surface area is measured in square units, such as cm^2 Β or mm^2 . We may be asked to give an answer in terms of pi ( Ο ) or to round to a given number of significant figures or decimal places.
Looking forward, students can then progress to additional surface area worksheets and otherΒ geometry worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.
For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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