The surface area of a rectangular prism is 190 square inches, the length is 10 inches, and the width 3 inches. Find the height.

I know how to do SA but I don't understand how to find height if you have SA given.

If the height is H,

SA = 2*(10*3) + 2*(10*H) + 2*(3*H) = 190 in^2
60 + 26H = 190
26H = 130
H = 5.0 inches

Thank you so much

To find the height of a rectangular prism when the surface area is given, we can use the formula for the surface area of a rectangular prism, which is given by the equation:

Surface Area = 2(length * width + length * height + width * height)

In this case, we are given the surface area (190 square inches), the length (10 inches), and the width (3 inches). We need to find the height.

Let's substitute the given values into the equation:

190 = 2(10 * 3 + 10 * height + 3 * height)

Simplify the equation:

190 = 2(30 + 10h + 3h)
190 = 2(30 + 13h)
190 = 60 + 26h
130 = 26h
h = 5

Therefore, the height is 5 inches.