**1. The volume of a cube**** is numerically equal to its surface area. ****What are the dimensions of the cube?**

**2. The volume of a cuboid is numerically equal to its surface area. The lengths of each of the edges are integers. **

**What are the dimensions of the cuboid?**

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The cube has sides of length 6 units.

If the dimensions of the cuboid are a, b and c then here are some possibilities:

a=3, b=7 and c=42

a=3, b=8 and c=24

a=3, b=9 and c=18

a=3, b=10 and c=15

a=3, b=12 and c=12

a=3, b=15 and c=10

a=3, b=18 and c=9

a=3, b=24 and c=8

a=3, b=42 and c=7

a=4, b=5 and c=20

a=4, b=6 and c=12

a=4, b=8 and c=8

a=4, b=12 and c=6

a=4, b=20 and c=5

a=5, b=4 and c=20

a=5, b=5 and c=10

a=5, b=10 and c=5

a=5, b=20 and c=4

a=6, b=4 and c=12

a=6, b=6 and c=6

a=6, b=12 and c=4

a=7, b=3 and c=42

a=7, b=42 and c=3

a=8, b=3 and c=24

a=8, b=4 and c=8

a=8, b=8 and c=4

a=8, b=24 and c=3

a=9, b=3 and c=18

a=9, b=18 and c=3

a=10, b=3 and c=15

a=10, b=5 and c=5

a=10, b=15 and c=3

a=12, b=3 and c=12

a=12, b=4 and c=6

a=12, b=6 and c=4

a=12, b=12 and c=3

a=15, b=3 and c=10

a=15, b=10 and c=3

a=18, b=3 and c=9

a=18, b=9 and c=3

a=20, b=4 and c=5

a=20, b=5 and c=4

a=24, b=3 and c=8

a=24, b=8 and c=3

a=42, b=3 and c=7

a=42, b=7 and c=3

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