Question

THE VOLUME OF A CUBIOD IS 5184CMCUBES . IT CAN BE CUT EXACTLY INTO EITHER 3-CM CUBE OR 2-CM CUBES. THE RATIO OF THE LENGTH OF THE CUBOID TO ITS BREADTH TO ITS HEIGHT IS 4:3:2FIND THE DIMENSION OF THE CUBIOD.​

Answer 1

Answer:

4x+3x+2x=5184

9x=5184

x=576

4x=4 (576)

.

Answer 2

Answer:

length =24cm

breadth = 18cm

height = 12cm

Step-by-step explanation:

the length of cuboid = 4a

the breadth of cuboid = 3a

the height of cuboid = 2a

=> 4a x 3a x 2a = 5184

=> 24a^3 = 5184

=> a^3 = 5184/24

=> a^3 = 216

=> a = 6cm

length= 4a = 4x6 = 24cm

breadth = 3a = 3x6 = 18cm

height = 2a = 2x6 = 12 cm