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The 6 faces of a solid cube of length 3 m is to be painted. The painting cost is Sh. 150 per square metre. Find the total cost of painting the cube.

Mathematics

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Sh. 8100\text{Sh. } 8100

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here's the solution for question 4.

Question 4: The 6 faces of a solid cube of length 3 m is to be painted. The painting cost is Sh. 150 per square metre. Find the total cost of painting the cube.

  1. Identify the side length of the cube.

    The side length of the cube is s=3 ms = 3 \text{ m}.

  2. Calculate the total surface area of the cube.

    The formula for the total surface area of a cube is 6s26s^2.

    Total surface area=6×(3 m)2\text{Total surface area} = 6 \times (3 \text{ m})^2 =6×9 m2= 6 \times 9 \text{ m}^2 =54 m2= 54 \text{ m}^2

  3. Calculate the total cost of painting.

    The cost of painting is Sh. 150 per square metre.

    Total cost=Total surface area×Cost per square metre\text{Total cost} = \text{Total surface area} \times \text{Cost per square metre} =54 m2×Sh. 150/m2= 54 \text{ m}^2 \times \text{Sh. } 150/\text{m}^2 =Sh. 8100= \text{Sh. } 8100

    The total cost of painting the cube is Sh. 8100\text{Sh. } 8100.

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