A box has volume 450m cube,if one dimension of the box is doubled, what is the volume of the larger box?

Question

if two dimensions of the box are doubled ,what is the volume of the larger box? if all three dimensions of the box are doubled ,what is the volume of the larger box?

Answer 1

Let the original sides be x, y and z. Volume = xyz=450.

If one dimension of the box is doubled, Volume = (2x)yz = 2(xyz)=2(450) = 900.

If two dimensions of the box are doubled, Volume =2x2yz = 4(xyz) = 1800.

If all three dimensions doubled, Volume = 2x2y2z = 3600

Answer 2

One dimension is doubled then the volume is doubled ( 900m^3). If two are doubles then the volume is 4 times the original (1800m^3). If all three are doubled then the volume is 8 times the original (3600m^3)

Answer 3

If one dimension is doubled, the volume doubles.
If two dimensions double, the volume increases x 4.
If all three double, the volume increases x 8.

Answer 4

It is doubled as well.
Volume is x*y*z
and if a larger box has one of the dimentions multiplied by 2 the volume of that box becomes 2*x*y*z, so doubled.

Answer 5

V = 450cm³ = L.B.H

1 side doubled
V1 = (2L).B.H = 2.(L.B.H) = 900 cm³

2 sides doubled
V2 = (2L).(2B).H = 4.(L.B.H) = 1800 cm³

3 sides doubled
V3 = (2L).(2B).(2H) = 8.(L.B.H) = 3600 cm³

Answer 6

900m cubed