What happens to the volume of a rectangular prism length, the width, and the height by 2?
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what happens to the volume of a rectangle if you multiply the length, the width, and the height by 2?
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To determine what happens to the volume of a rectangular prism when the length, width, and height are multiplied by 2, we can use the formula for the volume of a rectangular prism.
The formula for the volume of a rectangular prism is:
Volume = Length × Width × Height
If we multiply all three dimensions by 2, we get:
New Volume = (2 × Length) × (2 × Width) × (2 × Height)
This can be simplified as:
New Volume = 2 × 2 × 2 × Length × Width × Height
Which simplifies to:
New Volume = 8 × Length × Width × Height
Thus, when all three dimensions of a rectangular prism are multiplied by 2, the volume of the prism will increase by 8 times the original volume.