A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater volume? Drag and drop the labels to explain your answer.

The rectangular prism has the greater volume

Step-by-step explanation:

Given

Prism:

Cylinder

Required

Shape with greater volume

The volume of a rectangular prism is:

So, we have:

The volume of a cylinder is:

Where

So, we have:

So:

So, we have:

Both expressions have the same factor but different coefficient

The expression with greater coefficient has the greater volume

So, the has the

Because:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

step-by-step explanation: