# Surface area conjectures

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## Lesson details

### Key learning points

- In this lesson, we will explore patterns related to surface area and form conjectures based on your findings.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Which statement is true?

Area and surface area always have different units

Q2.

This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?

20 centimetres squared

32 centimetres squared

36 centimetres squared

A different number

Q3.

This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?

15 centimetres squared

36 centimetres squared

8 centimetres squared

A different number

Q4.

This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?

16 centimetres squared

27 centimetres squared

33 centimetres squared

34 centimetres squared

Q5.

What is the maximum surface area of combining 10 of these 1cm unit cubes together?

10 cubic centimetres

22 unit centimetres

46 unit centimetres

A different number

### 5 Questions

Q1.

What is the best mathematical definition of a conjecture?

A fact

A proof

A statement that is always true

Q2.

What is the surface area of this 1cm unit cube?

3 centimetres squared

4 centimetres squared

8 centimetres squared

Q3.

Two 1cm unit cubes have been combined to form the solid shape below. What is the surface area?

12 centimetres squared

18 centimetres squared

6 centimetres squared

Q4.

The pattern is continued so that we have 3 unit cubes stuck together as a stick. What is the surface area?

18 centimetres squared

20 centimetres squared

7 centimetres squared

Q5.

The pattern is continued so that we have 13 unit cubes stuck together as a stick. Which calculation successfully works out the surface area?

4 x 13 - 2

6 x 13

6 x 13 -2