Surface Area of a Cuboid: Suggesting options for terms when the formula result is known

The surface area of a cuboid is 220 cm².

The length of the cuboid 10 cm.

What is its height and width?

Height: 4, Width: 5

The surface area of the given cuboid display is 350 cm².

Find a,b possible.

a- 7.5, b- 12.61

The surface area of a cuboid is 300X cm².

Its height is 5X cm.

What is its width and length?

Width = 5

Height = $\frac{25x}{x+1}$

The surface area of a rectangular prism is $40xy^2$.

The length of the rectangular prism is$z$.

Express the possible height and width using $x,y,z$.

$$$z$ , $10\frac{xy^2}{z}-\frac{1}{2}z$