Question

The length,breadth And height of a cuboid are in the ratio 3:2:1 .If it's volume is 6000cm^3 .Find the dimensions ​

Answer 1

HeY MatE!!

HerE IS YouR AnsweR ----

Length of the cuboid= 3x----- (l)

Breadth of the, cuboid= 2x----- (b)

Height of cuboid= 1x ----- (h)

Given, volume of cuboid=6000 cm³

Now,

volume of cuboid= l×b×h

$= > 6000 = 3x \times 2x \times 1x \\ \\ = > 6000 = 6 {x}^{3} \\ \\ = > \frac{6000}{6} = {x}^{3} \\ \\ = > 1000 = {x}^{3} \\ \\ taking \: cube \: root \: both \: sides \: - - - \\ \\ = > \sqrt[3]{1000} = \sqrt[3]{ {x}^{3} } \\ \\ = > 10 = x$

therefore, the value of X is 10.

Now, substitute the value of X in the

dimensions of cuboid ----

therefore , length = 3x = 3×10= 30cm

breadth = 2x= 2×10= 20 cm

& height = X = 1×10 =10cm

-_-Please Mark It As Brainliest -_-

Answer 2

this is the answer which is given in the photo.

l=30

b=20

C=10