Question

there are three cubes their volumes are in the ratio 2:3:4 the sum of the volumes of the cubes is 19773 cm find the volume of each cube

Answer 1

let the volume of cubes be
2x,3x,4x
sum =19773

so we have
2x+3x+4x=19773
x= 2197

2x=4394
3x=6591
4x=8788

Answer 2

4394 cm³ , 6591 cm³ , 8788 cm³

Step-by-step explanation:

Given:

Common ratio in volume = 2 : 3 : 4

Sum of the volumes = 19,773 cm³

Computation:

Let common value = a

So,

Sum of volumes= 2a + 3a + 4a = 19,773cm³

9a = 19,773cm³

a = 19,773 / 9

a = 2197cm³

Volume of 1st cube = 2 × 2197 = 4394 cm³

Volume of 2nd cube = 3 × 2197 = 6591 cm³

Volume of 3rd cube = 4 × 2197 = 8788 cm³

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