How does the original volume of a rectangular prism change when the width is doubled, the length is tripled, and the height is quadrupled?
The equation for the volume of a rectangular prism is:
Volume=width×length×height
If we multiply the width by 2, the length by 3, and the height by 4 in this equation, we have to do the same to the other side so the equation remains true.
2×3×4×Volume=(2×width)×(3×length)×(4×height)
24×Volume=(2×width)×(3×length)×(4×height)
Therefore the volume will be 24 times it's original value.