Calculation of Volume of a Right Prism with a Square Base
Given data:
- Height of the prism (h) = ? (To be calculated)
- Side of the square base (s) = 15 cm
- Total surface area of the prism = 608 sq. cm

Finding the Height of the Prism
1. The total surface area of a prism includes the area of all its faces, which can be calculated using the formula:
Total Surface Area = 2 * Base Area + Lateral Surface Area
2. Since the base of the prism is a square, the base area can be calculated by:
Base Area = s^2
3. The lateral surface area of a prism with a square base can be calculated by:
Lateral Surface Area = 4 * s * h
4. Substituting the given values into the total surface area formula, we get:
608 = 2 * s^2 + 4 * s * h
5. Given that s = 15 cm, we can now solve for h.

Calculating the Volume of the Prism
1. Once we have found the height of the prism, we can calculate the volume using the formula:
Volume = Base Area * Height
2. Substituting the values of the base area and height into the formula, we get:
Volume = s^2 * h
3. Now that we have the height of the prism, we can calculate the volume by substituting the values of s and h into the formula.
By following these steps, you can determine the height of the right prism with a square base and calculate its volume based on the given total surface area.