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Ice is usually used in cool drinks to further cool them - NSC Mathematical Literacy - Question 5 - 2023 - Paper 2

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Ice is usually used in cool drinks to further cool them. Ice can be made by freezing water in different shapes. Cubes are the most common shape used to make ice. Sid... show full transcript

Worked Solution & Example Answer:Ice is usually used in cool drinks to further cool them - NSC Mathematical Literacy - Question 5 - 2023 - Paper 2

Step 1

Determine the surface area of a cube

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Answer

To determine the surface area of the cube, we will use the formula given:

extSurfaceArea=6imesextsidelength2 ext{Surface Area} = 6 imes ext{side length}^2

Substituting the side length of 4.5 cm into the formula:

extSurfaceArea=6imes(4.5extcm)2 ext{Surface Area} = 6 imes (4.5 ext{ cm})^2

Calculating the square of the side length:

(4.5extcm)2=20.25extcm2(4.5 ext{ cm})^2 = 20.25 ext{ cm}^2

Now substituting back:

extSurfaceArea=6imes20.25extcm2=121.5extcm2 ext{Surface Area} = 6 imes 20.25 ext{ cm}^2 = 121.5 ext{ cm}^2

Therefore, the surface area of the cube is 121.5 cm².

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