Question

If length,breath,height of cuboid are in the ratio of 6:5:4 and surface area 3300. find the dimensions of cuboid​

Answer 1

Step-by-step explanation:

Let the dimensions be 6x, 5x and 4x

Now as surface area = 33300

So, we made an equation in x and solve for x in order to find dimensions of cuboid,

=> 2(6x × 5x + 4x × 5x + 6x × 4x) = 33300

=> 74x^2 = 16650

=> x^2 = 225

=> x = 15 (as x cannot be negative)

Now, dimensions of cuboid = (6 × 15)

= (5 × 15)

= (4 × 15)

90 cm, 75 cm and 60 cm

Hope you get your query done!