2019 · Q100
Consider the following for the next two (02) items:
The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?
Elementary MathematicsMensuration
- A288 cm²
- B216 cm²
- C144 cm²
- DCannot be determined due to insufficient data
Explanation
Surface area = 2(lb+bh+hl). From (l+b+h)^2 = l^2+b^2+h^2+2(lb+bh+hl): 484 = 196 + 2(lb+bh+hl), so lb+bh+hl = 144 and the surface area is 288 cm^2.