Ineed consider the rectangular prism with a length 3 cm, width 6 cm, and height 10 cm. if one of the dimensions is tripled what will happen to the volume? justify your response.

Volume becomes 3 times of original volume .

Step-by-step explanation:

Length of rectangular prism = 3 cm

Width of rectangular prism = 6 cm

Height of rectangular prism = 10 cm

Volume of rectangular prism =

                                                 =

                                                 =

Now  one of the dimensions is tripled i.e. one of the dimensions becomes 3 times

So, Volume of rectangular prism =

                                                 =

                                                 =

Hence one of the dimensions is tripled Volume becomes 3 times of original volume .

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions