Question

the length,breadth and height of a box are in ratio 5:4:3 and the length of its diagnal is 10√2. find the whole surface area.

Answer 1

Answer:

376

Step-by-step explanation:

Let say x is common multiplier

So length breadth height are 5x , 4x and 3x

Diagonal ^2 = (5x)^2 + (4x)^2 × (3x)^2

(10root2)^2 = 25x^2 + 16x^2 + 9x^2

200 = 50x^2

4 = x^2

2 = x

So length breadth and height are

5×2 , 4×2 & 3×2

= 10 , 8 & 6

Surface area = 2×(10×8 + 10×6 + 8×6)

= 2 × (80 × 60 + 48)

= 2 × 188

= 376