Answer:
Step-by-step explanation:
Given the length, width and height find the volume, surface area and diagonal of a rectangular prism
h, l and w are known; find V, S and d
V = lwh
S = 2(lw + lh + wh)
d = √(l2 + w2 + h2)
2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism
S, l and w are known; find h, V and d
h = (S - 2lw) / (2l + 2w)
V = lwh
d = √(l2 + w2 + h2)
3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism
V, l and w are known; find h, S and d
h = V / lw
S = 2(lw + lh + wh)
d = √(l2 + w2 + h2)
4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism
d, l and w are known; find h, V and S
h = √(d2 - l2 - w2)
V = lwh
S = 2(lw + lh + wh)