Question

The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 5 cm. Its surface area is :

Answer 1

Answer:

330.75

Step-by-step explanation:

l + b+ h = 19

Squaring on both sides

(l + b+ h)^2 = 361

l^2 + b^2 + h^2 = d^2 = 5.5^2 = 30.25

Surface area = 2(lb + bh + hl)

Using the identity,

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

361 = 30.25 + Surface area of cuboid

Surface area = 361 - 30.25 = 330.75 cm^2