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If a cube has a volume of 64 cubic centimeters, what is the length of one side o

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Question: If a cube has a volume of 64 cubic centimeters, what is the length of one side of the cube?

Options:

  1. 4 cm
  2. 8 cm
  3. 16 cm
  4. 2 cm

Correct Answer: 4 cm

Solution:

Volume of a cube = side³. Therefore, side = ∛64 = 4 cm.

If a cube has a volume of 64 cubic centimeters, what is the length of one side o

Practice Questions

Q1
If a cube has a volume of 64 cubic centimeters, what is the length of one side of the cube?
  1. 4 cm
  2. 8 cm
  3. 16 cm
  4. 2 cm

Questions & Step-by-Step Solutions

If a cube has a volume of 64 cubic centimeters, what is the length of one side of the cube?
  • Step 1: Understand that the volume of a cube is calculated using the formula: Volume = side × side × side (or side³).
  • Step 2: We know the volume of the cube is 64 cubic centimeters.
  • Step 3: Set up the equation: side³ = 64.
  • Step 4: To find the length of one side, we need to take the cube root of 64.
  • Step 5: Calculate the cube root of 64. This means finding a number that, when multiplied by itself three times, equals 64.
  • Step 6: The cube root of 64 is 4, because 4 × 4 × 4 = 64.
  • Step 7: Therefore, the length of one side of the cube is 4 centimeters.
  • Volume of a Cube – The volume of a cube is calculated using the formula V = side³, where V is the volume and side is the length of one side of the cube.
  • Cube Root Calculation – To find the length of one side from the volume, you need to calculate the cube root of the volume.
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