If the surface area of a cube is 150 cm², what is the length of one side?

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Question: If the surface area of a cube is 150 cm², what is the length of one side?

Options:

Correct Answer: 6 cm

Solution:

The surface area of a cube is 6 × side². Therefore, side² = 150 cm² / 6 = 25 cm², so side = 5 cm.

If the surface area of a cube is 150 cm², what is the length of one side?

If the surface area of a cube is 150 cm², what is the length of one side?

Step 1: Understand that a cube has 6 faces and the surface area is the total area of all these faces.
Step 2: The formula for the surface area of a cube is Surface Area = 6 × (length of one side)².
Step 3: We know the surface area is 150 cm², so we can set up the equation: 6 × (side)² = 150 cm².
Step 4: To find (side)², divide both sides of the equation by 6: (side)² = 150 cm² / 6.
Step 5: Calculate 150 cm² / 6, which equals 25 cm². So, (side)² = 25 cm².
Step 6: To find the length of one side, take the square root of 25 cm²: side = √25 cm².
Step 7: The square root of 25 is 5, so the length of one side is 5 cm.

Surface Area of a Cube – The surface area of a cube is calculated using the formula 6 × side², where 'side' is the length of one edge of the cube.