Question

Three numbers are in the ratio 1:2:3 the sum of their cubes is 7776 find the volume of the cube​

Answer 1

Answer:

answer is 36

Step-by-step explanation:

1:2:3

1x+2x+3x=6x

volume of cube is lbh

then

(6x) power 3 =7776

216xcube=7776

xcube=7776÷216

x cube =36

therefor

volume of cube = 36

Answer 2

Answer:

Step-by-step explanation:

let first no = 1x

second no =2x

third no=3x

ATQ

(x)³+(2x)³+(3x)³=7776

x³+8x³+27x³=7776

36x³=7776

x³=7776/36

x³=216

x=∛216

x=6

therefore numbers are 6,12 and 18

volume of cube= 6×12×18

                         =1296