  # Surface Area of a Cuboid

In this worksheet students will learn the formula for finding the surface area of a cuboid. They will be able to find the surface area of cuboids and solve simple problems. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Volume and Surface Area Calculations

Difficulty level:   #### Worksheet Overview The best part about a present when you were younger.. yes the box.

All the care taken to wrap up the present when you might as well just be given an empty box to play with.

The cuboid is a great shape for putting presents in, the shape makes it easier to wrap.

Have you ever wondered how much paper to buy to make sure the whole box is covered?

This is where surface area comes in.

Surface area of a shape is just the area of each face added together.  Just think

House bricks, books, cameras, cookers, all have to be wrapped to be transported to shops. Can you think of any more?

Retailers have to be able to calculate the surface area to wrap goods before they can be shipped off.

Our friend as always in maths the formula.

Surface area of a cuboid is the area of each face added together.

Find the surface area of this cuboid.

I know there are six sides and it is a lot of work... or is it?

Us mathematicians are always looking for a short cut if possible.

Look at the break down below. Surface Area

Find the area of the face we are looking directly at.   5 x 4 = 20 cm²

There is another face exactly the same on the opposite side of the cuboid.  No working out necessary we have already done it.

We now have Face 1 = 20 cm²

Face 2 = 20 cm²

Now let us look at the face on the right hand side and work out the area.  3 x 5 = 15 cm²

The opposite face is also the same.

We now have Face 1 = 20 cm²

Face 2 = 20 cm²

Face 3 = 15 cm²

Face 4 = 15 cm²

Now find the remaining two faces in the same way.  4 x 3 = 12 cm²

We now have Face 1 = 20 cm²

Face 2 = 20 cm²

Face 3 = 15 cm²

Face 4 = 15 cm²

Face 5 = 12 cm²

Face 6 = 12 cm²

Total surface area   = 94 cm²

And remember measurement to do with area is measured in units squared.

Happy wrapping.

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