Question

The volume of a cuboid is 5184cm it can be cut into either3cm cube or 2 cm cubes the raTio of the length of the cuboid to its breadth to its height is 4:3:2 find the dimensions of the cuboid

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{Length=24cm,Breadth=18cm\:and\:Height=12cm}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

□Length=4x

□Breadth=3x

□Height=2x

☆Volume of cuboid=5184cm^3

$l \times b \times h = 5184 {cm}^{3} \\ = )4x \times 3x \times 2x = 5184 \\ = )24 {x}^{3} = 5184 \\ = ) {x}^{3} = \frac{5184}{24} \\ = ) {x}^{3} = 216 \\ = )x = \sqrt[3]{216} \\ = )x = 6$

☆Length=4x=4×6=24cm

☆Breadth=3x=3×6=18cm

☆height=2x=2×6=12cm