Formulas for a rectangular prism:

• Volume of Rectangular Prism: V = lwh
• Surface Area of Rectangular Prism: S = 2(lw + lh + wh)
• Space Diagonal of Rectangular Prism: d = √(l^2 + w^2 + h^2)

Calculations for a rectangular prism:

1. Given the length, width and height find the volume, surface area and diagonal

• h, l and w are known; find V, S and d
• V = lwh
• S = 2(lw + lh + wh)
• d = √(l^2 + w^2 + h^2)

2. Given the surface area, length and width find the height, volume and diagonal

• S, l and w are known; find h, V and d
• h = (S - 2lw) / (2l + 2w)
• V = lwh
• d = √(l^2 + w^2 + h^2)

3. Given the volume, length and width find the height, surface area, and diagonal

• V, l and w are known; find h, S and d
• h = V / lw
• S = 2(lw + lh + wh)
• d = √(l^2 + w^2 + h^2)

4. Given the diagonal, length and width find the height, volume and surface area

• d, l and w are known; find h, V and S
• h = √(d^2 - l^2 - w^2)
• V = lwh
• S = 2(lw + lh + wh)