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The shape below, on the right, consists of 6 squares - Junior Cycle Mathematics - Question 1 - 2014

Question 1

The shape below, on the right, consists of 6 squares. Each side is 2 cm long. It can be folded to form a cube. Find the surface area of the cube.

Worked Solution & Example Answer:The shape below, on the right, consists of 6 squares - Junior Cycle Mathematics - Question 1 - 2014

Step 1

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Answer

To find the area of one square, we use the formula for the area of a square, which is given by:

$A = s^2$

where ( s ) is the side length of the square. Therefore, for a square with a side length of 2 cm:

$A = (2 \, \text{cm})^2 = 4 \, \text{cm}^2$

Step 2

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Answer

Since a cube consists of 6 identical squares, we can find the total surface area by multiplying the area of one square by 6:

$\text{Total Surface Area} = 6 \times A = 6 \times 4 \, \text{cm}^2 = 24 \, \text{cm}^2$

Hence, the surface area of the cube is ( 24 , \text{cm}^2 ).

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