# Surface Area of Cuboids

In this worksheet, students calculate the surface area of cuboids given their dimensions.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Derive and Apply Formulae

Difficulty level:

### QUESTION 1 of 10

In this worksheet, you must find the surface area of cuboids from their dimensions.

Example

To find the surface area of a cuboid, find the areas of the six rectangular faces and add these areas together.

The six faces of a cuboid will always have three pairs of congruent (identical) rectangular faces.

Area of top and bottom faces = 2 x (4 x 3) = 24 cm2

Area of front and back faces = 2 x (5 x 4) = 40 cm2

Area of left and right faces = 2 x (5 x 3) = 30 cm2

Total surface area = 24 + 40 + 30 = 94 cm2

Length = 12 cm, width = 3 cm, height = 2 cm

Surface area of cuboid is ________ cm2

Length = 12 cm, width = 8 cm, height = 3 cm

Surface area of cuboid is ________ cm2

Length = 12 cm, width = 7 cm, height = 4 cm

Surface area of cuboid is ________ cm2

Length = 10 cm, width = 3 cm, height = 2 cm

Surface area of cuboid is ________ cm2

Length = 13 cm, width = 7 cm, height = 6 cm

Surface area of cuboid is ________ cm2

Length = 13 cm, width = 4 cm, height = 4 cm

Surface area of cuboid is ________ cm2

Length = 10 cm, width = 4 cm, height = 5 cm

Surface area of cuboid is ________ cm2

Length = 14 cm, width = 7 cm, height = 5 cm

Surface area of cuboid is ________ cm2

Length = 14 cm, width = 8 cm, height = 3 cm

Surface area of cuboid is ________ cm2

Length = 10 cm, width = 5 cm, height = 10 cm

Surface area of cuboid is ________ cm2

• Question 1

Length = 12 cm, width = 3 cm, height = 2 cm

Surface area of cuboid is ________ cm2

132
EDDIE SAYS

Area of top and bottom faces = 2 x (12 x 3) = 72 cm2

Area of front and back faces = 2 x (12 x 2) = 48 cm2

Area of left and right faces = 2 x (3 x 2) = 12 cm2

Total surface area = 72 + 48 + 12 = 132 cm2

• Question 2

Length = 12 cm, width = 8 cm, height = 3 cm

Surface area of cuboid is ________ cm2

312
EDDIE SAYS

Area of top and bottom faces = 2 x (12 x 8) = 192 cm2

Area of front and back faces = 2 x (12 x 3) = 72 cm2

Area of left and right faces = 2 x (8 x 3) = 48 cm2

Total surface area = 192 + 72 + 48 = 312 cm2

• Question 3

Length = 12 cm, width = 7 cm, height = 4 cm

Surface area of cuboid is ________ cm2

320
EDDIE SAYS

Area of top and bottom faces = 2 x (12 x 7) = 168 cm2

Area of front and back faces = 2 x (12 x 4) = 96 cm2

Area of left and right faces = 2 x (7 x 4) = 56 cm2

Total surface area = 168 + 96 + 56 = 320 cm2

• Question 4

Length = 10 cm, width = 3 cm, height = 2 cm

Surface area of cuboid is ________ cm2

112
EDDIE SAYS

Area of top and bottom faces = 2 x (10 x 3) = 60 cm2

Area of front and back faces = 2 x (10 x 2) = 40 cm2

Area of left and right faces = 2 x (3 x 2) = 12 cm2

Total surface area = 60 + 40 + 12 = 112 cm2

• Question 5

Length = 13 cm, width = 7 cm, height = 6 cm

Surface area of cuboid is ________ cm2

422
EDDIE SAYS

Area of top and bottom faces = 2 x (13 x 7) = 182 cm2

Area of front and back faces = 2 x (13 x 6) = 156 cm2

Area of left and right faces = 2 x (7 x 6) = 84 cm2

Total surface area = 182 + 156 + 84 = 422 cm2

• Question 6

Length = 13 cm, width = 4 cm, height = 4 cm

Surface area of cuboid is ________ cm2

240
EDDIE SAYS

Area of top and bottom faces = 2 x (13 x 4) = 104 cm2

Area of front and back faces = 2 x (13 x 4) = 104 cm2

Area of left and right faces = 2 x (4 x 4) = 16 cm2

Total surface area = 104 + 104 + 16 = 240 cm2

• Question 7

Length = 10 cm, width = 4 cm, height = 5 cm

Surface area of cuboid is ________ cm2

220
EDDIE SAYS

Area of top and bottom faces = 2 x (10 x 4) = 80 cm2

Area of front and back faces = 2 x (10 x 5) = 100 cm2

Area of left and right faces = 2 x (4 x 5) = 40 cm2

Total surface area = 80 + 100 + 40 = 220 cm2

• Question 8

Length = 14 cm, width = 7 cm, height = 5 cm

Surface area of cuboid is ________ cm2

406
EDDIE SAYS

Area of top and bottom faces = 2 x (14 x 7) = 196 cm2

Area of front and back faces = 2 x (14 x 5) = 140 cm2

Area of left and right faces = 2 x (7 x 5) = 70 cm2

Total surface area = 196 + 140 + 70 = 406 cm2

• Question 9

Length = 14 cm, width = 8 cm, height = 3 cm

Surface area of cuboid is ________ cm2

356
EDDIE SAYS

Area of top and bottom faces = 2 x (14 x 8) = 224 cm2

Area of front and back faces = 2 x (14 x 3) = 84 cm2

Area of left and right faces = 2 x (8 x 3) = 48 cm2

Total surface area = 224 + 84 + 48 = 356 cm2

• Question 10

Length = 10 cm, width = 5 cm, height = 10 cm

Surface area of cuboid is ________ cm2

400
EDDIE SAYS

Area of top and bottom faces = 2 x (10 x 5) = 100 cm2

Area of front and back faces = 2 x (10 x 10) = 200 cm2

Area of left and right faces = 2 x (5 x 10) = 100 cm2

Total surface area = 100 + 200 + 100 = 400 cm2

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