# Surface Area Worksheet 6th Grade

Welcome to our Surface Area Worksheet 6th Grade collection.

Here you will find a range of surface area worksheets to help you learn how to find the surface area of a range of different nets including cubes, prisms and pyramids.

## Surface Area Worksheet 6th Grade Collection

### Examples

Example 1) Find the surface area of the cube below. The width of one side of each square face is 4cm.

So the area of each square face is 4 x 4 = 16 cm2.

The cube has 6 identical square faces, so the total surface area is 16 x 6 = 96 cm2.

Example 2) What is the surface area of the cube below. The width of one side of each square face is 1 ½ inches.

So the area of each square face is 1 ½ x 1 ½ = 2 ¼ in2.

The cube has 6 identical square faces, so the total surface area is 2 ¼ x 6 = 13 ½ in2.

Example 3) Find the surface area of the cuboid below. There are 6 faces in the cuboid, with 3 identical faces each repeated twice.

Face1: 6cm by 4cm. Area = 6 x 4 = 24 cm2

Face2: 6cm by 3cm. Area = 6 x 3 = 18 cm2

Face3: 3cm by 4cm. Area = 3 x 4 = 12 cm2

The surface area of the cuboid is (Area of Face1 x 2) + (Area of Face2 x 2) + (Area of Face3 x 2)

So the surface area of this cuboid is (24 x 2) + (18 x 2) + (12 x 2) = 48 + 36 + 24 = 108 cm2.

Example 4) What is the surface area of the triangular prism below. The triangular prism has 5 faces, two identical triangular faces, and three rectangular faces, two of which are identical.

Face1 (rectangular): 10 in by 5 in. Area = 10 x 5 = 50 in2

Face2 (rectangular): 10 in by 6 in. Area = 10 x 6 = 60 in2

Face3 (triangular): 6 in base and 4 in perpendicular height. Area = ½ x 6 x 4 = 3 x 4 = 12 in2

So the surface area of the triangular prism is (Area of Face1 x 2) + Area of Face2 + (Area of Face3 x 2).

So the surface area is (50 x 2) + 60 + (12 x 2) = 100 + 60 + 24 = 184 in2.

Example 5) Find the surface area of the square pyramid below. The square pyramid has one square face and four identical triangular faces.

Square Face: 12cm by 12cm. Area = 12 x 12 = 144 cm2

Triangular Face: base: 12 cm perpendicular height: 8 cm. Area: ½ x 12 x 8 = 6 x 8 = 48 cm 2

The surface area of the pyramid is (Area of Square Face) + (Area of Triangular Face x 4)

So the surface area of this pyramid is 144 + (48 x 4) = 144 + 192 = 336 cm2.

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### Surface Area 6th Grade Online Quiz

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We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

This quick quiz tests your knowledge and skill at finding the surface area of different 3d nets.

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