Original volume = (S)3 New volume = (3S)3 = 27(S)3 = 27 times the original volume. The change is (27 times) - (1 time) = 26 times = 2,600 percent Semantic note: After increasing by 2,600 percent, the volume becomes 2,700 percent of what it was originally.
The length increases by a 3√3 or 31/3 = 1.4422 (approx).
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume increases to 33 = 27 times as much.
I'd need to review what happened in number-1 before I could answer that. I do know that if only the length of a rectanguar prism is tripled, while the other two dimensions remain unchanged, then its volume triples.
The volume of a cube is directly related to the length of its edge through the formula ( V = a^3 ), where ( V ) is the volume and ( a ) is the edge length. This means that if you increase the edge length, the volume increases exponentially, specifically by the cube of the edge length. For example, doubling the edge length results in an eightfold increase in volume. Thus, the edge length and volume are intrinsically linked through this cubic relationship.
The length increases by a 3√3 or 31/3 = 1.4422 (approx).
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume increases to 33 = 27 times as much.
If only the length is changed and all other dimensions left unchanged, the volume will also triple.
The new volume is 3^3 = 27 times as much.
I'd need to review what happened in number-1 before I could answer that. I do know that if only the length of a rectanguar prism is tripled, while the other two dimensions remain unchanged, then its volume triples.
If volume is held constant and pressure is tripled, the temperature will also triple according to the ideal gas law (PV = nRT). This relationship is known as Gay-Lussac's Law.
A [multiplicative] change in one dimension makes the same change in the volume. So the volume would be tripled.
The volume of a cube is directly related to the length of its edge through the formula ( V = a^3 ), where ( V ) is the volume and ( a ) is the edge length. This means that if you increase the edge length, the volume increases exponentially, specifically by the cube of the edge length. For example, doubling the edge length results in an eightfold increase in volume. Thus, the edge length and volume are intrinsically linked through this cubic relationship.
PV=RT, if the volume is tripled at constant temperature, the pressure drops to one third.
The volume increases 27-fold.
Volume is proportional to the cube (3rd power) of the linear dimensions.If the side of the cube is tripled, the volume increasesby a factor of (3)3 = 27 .