Question

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?

A) 288 sq.cm B) 216 sq.cm C) 144 sq.cm D) Cannot be determined due to insufficient data

Answer 1

Answer:

470cm^2

Step-by-step explanation:

l+b+h = 22cm

l^2+b^2+h^2= 14

lb+bh+lh=?

(l+b+h)^2 = (l^2+b^2+h^2) + 2(lb+bh+lh)

22×22 = 14 + 2(lb+bh+lh)

2(lb+bh+lh) = 484 - 14 = 470

Note :

diagonal = l^2+b^2+h^2