Question

Three solid metal cubes of sides 6 cm, 8 cm and 10 cm are melted and formed into a new

cube. Find the side of the new cube.​

Answer 1

Answer:

6cm

Step-by-step explanation:

add all three solid metal cubes 6cm +8cm +10cm= 24 cm,

then divide 24 by 4 because a cube has 4 sides if we find the each side of cube we can divide

24/4 = 6cm

each side of cube is 6cm.

thank you

and please mark me as brain list.

Answer 2

Step-by-step explanation:

side of three cubes = 6cm , 8 cm and 10cm

let side of the new cube = x

then according to question,

we know the volume of a cube = a^3

where a = side of the cube

NOW,

volume of the new cube = volume of three cubes

${x}^{3 } = {6}^{3} + {8}^{3} + {10}^{3}$

${x}^{3} = 1728$

$x \: = \sqrt[3]{1728}$

$x \: = \sqrt[3]{(12) \times (12) \times (12)}$

$x = 12$

Hence the side of new cube is 12 cm.