The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.
The side of the square is 8.
The height of the prism is 11.
Volume = Area of square × height.
The volume of the original prism will be.
[tex]\rm V_1 = 8 * 8 * 11\\\\V_1 = 704[/tex]
If she triples the side of the square.
Then dimensions will be
The side of the square is 24.
The height of the prism is 11.
The volume of the modified prism will be.
[tex]\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1[/tex]
Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.
More about the geometry link is given below.
https://brainly.com/question/7558603
