Three cubes of a metal whose edges are in the ratio 3 : 4 : 5 are melted and converted
into a single cube whose diagonal is Find the edges of the three cubes.
Answers
Answered by
12
Answer:
Let edges of 3 cubes be 3x, 4x and 5x.
Volume of 3 cubes = 3x cubed + 4x cubed + 5x cubed = 216x cubed cm square
Let 'a'be edge of new cube
a cubed = 216x cubed
a = 6x
Diagonal of new cube = 12 root 3
a square + a square + a square whole root = 12 root 3
root 3 a = 12 root 3
a = 12
x = 2
3x = 6cm, 4x = 8cm and 5x = 10cm
Step-by-step explanation:
Mark me brainliest!
Similar questions