Help your students prepare for their Maths GCSE with this free surface area of a cuboid worksheet of 34 questions and answers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
Surface area is a measure of the total area of all of the faces of a 3D shape. To find the surface area of a cube or a cuboid, we find the area of the 6 square or rectangular faces and add them to give the total surface area of the cube/cuboid. Remember, to find the area of a rectangle, we multiply the two side lengths.
The total surface area of a cube is the sum of the area of each face, which is a square. This means that if the side length of each face is x , the surface area of a cube is 6x^2 .
The opposing faces of any cube/cuboid are congruent.
For example, calculate the surface area of the rectangular prism where w=5cm, h=2cm, and d=3cm .
The top and the bottom faces of a cuboid are congruent.
The base = w \times d = 5 \times 3 = 15cm^2 .
The left and the right faces of a cuboid are congruent.
The left = h \times d = 2 \times 3 = 6cm^2 .
The front and the back faces of a cuboid are congruent.
The front = w \times h = 5 \times 2 = 10cm^2 .
The surface area of this cuboid is therefore 15 + 15 + 6 + 6 + 10 + 10 = 62cm^2 .
Surface area is measured in square units, such as centimetres squared or or millimetres squared.
Looking forward, students can then progress to additional surface area worksheets and other geometry and measure worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.
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