A right square prism and a right cylinder have the same height and volume.
What can you conclude about the radius of the cylinder and side lengths of
the square base?

if the right cylinder and right square prism have the same volume, then all of the dimensions must be the same. therefore, the radius of the cylinder and the side lengths of the square base must be the same as well.

Step-by-step explanation:

basically if the volume is the same then the dimensions are the same no matter what so the radius and the square have to be equal if they're the same volume.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.