If the length of a cuboid is doubled, what happens to its volume?

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Question: If the length of a cuboid is doubled, what happens to its volume?

Options:

Correct Answer: It quadruples

Solution:

If the length is doubled, the volume increases by a factor of 2 (length) × 1 (width) × 1 (height) = 2 times the original volume.

If the length of a cuboid is doubled, what happens to its volume?

If the length of a cuboid is doubled, what happens to its volume?

Step 1: Understand what a cuboid is. A cuboid is a 3D shape with length, width, and height.
Step 2: Write down the formula for the volume of a cuboid: Volume = Length × Width × Height.
Step 3: Identify the original length, width, and height of the cuboid.
Step 4: If the length is doubled, the new length becomes 2 × Original Length.
Step 5: Keep the width and height the same as before.
Step 6: Substitute the new length into the volume formula: New Volume = (2 × Original Length) × Original Width × Original Height.
Step 7: Simplify the new volume: New Volume = 2 × (Original Length × Original Width × Original Height).
Step 8: Recognize that (Original Length × Original Width × Original Height) is the original volume.
Step 9: Conclude that the new volume is 2 times the original volume.

Volume of a Cuboid – The volume of a cuboid is calculated by multiplying its length, width, and height.
Effect of Doubling Dimensions – Doubling one dimension of a three-dimensional object affects the overall volume proportionally to that dimension.