A cuboid of base 4.5cm by 20cm holds exactly 1 litter of water.what is the height of the cuboid
Remark.
dm is decimetre
1 litter = 1 dm ³
1 dm = 10 cm
1 cm = 1 / 10 dm
4.5 cm = 4.5 ∙ 1 / 10 dm = 0.45 dm
20 cm = 20 ∙ 1 / 10 dm = 2 dm
Volume of cuboid:
V = L ∙ W ∙ H
L = length
W = width
H = height
In this case:
L = 4.5 cm = 0.45 dm
W = 20 cm = 2 dm
V = L ∙ W ∙ H = 1 dm ³
0.45 ∙ 2 ∙ H = 1
0.9 H = 1
H = 1 / 0.9
H = 1.11... dm
H = 11.11... cm