Question

the dimensions of a cuboid are in the ratio 5:3:1 and its total surface area 414cm square 2 find the volume of cuboid​

Answer 1

Answer:

=Volume= 405 cm³

Step-by-step explanation:

Let sides = 5a, 3a, a

TSA = 2(lb+bh+hl)

414 cm² = 2(5a×3a+3a×a+a×5a)

207 cm²= 15a²+3a²+5a²

207cm²= 23a²

a²= 9

a=3

Sides = 15cm, 9cm, 3cm

Volume= 15×9×3

Volume= 405 cm³

Hope it helped...