The diagram shows a box in the shape of a cube of lengths 2 m.The box is packed with cubes of lengths 1 cm.How many cubes does it hold?

$8000$
$8000000$
$4000000$
$40000$

Question

The diagram shows a box in the shape of a cube of lengths 2 m-The box is packed with cubes of lengths 1 cm-How many cubes does it hold-80008000000400000040000

Toppr Admin · Accepted Answer

Number of cube hold by larger cube-VolumeoflargercubeVolumeofsmallercube-8m31cm3-8m3-0-01-3m3-80-000001-8000000

The diagram shows a box in the shape of a cube of lengths 2 m.The box is packed with cubes of lengths 1 cm.How many cubes does it hold?80008000000400000040000

Number of cube hold by larger cube=VolumeoflargercubeVolumeofsmallercube=8m31cm3=8m3(0.01)3m3=80.000001=8000000

The diagram shows a box in the shape of a cube of lengths 2 m.The box is packed with cubes of lengths 1 cm.How many cubes does it hold?

$8000$
$8000000$
$4000000$
$40000$

Number of cube hold by larger cube $= \frac{V o l u m e o f l a r g e r c u b e}{V o l u m e o f s m a l l e r c u b e} = \frac{8 m^{3}}{1 c m^{3}} = \frac{8 m^{3}}{(0.01)^{3} m^{3}} = \frac{8}{0.000001} = 8000000$