Question

Convert the following measures of capacity.

a. 35 cubic meters to liters
b. 450 cubic centimeters to milliliters
c. 19.74 cubic meters to cubic decimeters
d. 926 cubic centimeters to cubic decimeters

Answer 1

a. 35 cubic meters to liters:

1 cubic meter = 1000 liters

so 35 cubic meters = 35 x 1000 = 35,000 liters

b. 450 cubic centimeters to milliliters:

1 cubic centimeter = 1 milliliter

Therefore 450 cubic centimeters = 450 milliliters

c. 19.74 cubic meters to cubic decimeters:

1 cubic meter = 1000 cubic decimeters

so 19.74 cubic meter = 19.74 x 1000 = 19740 cubic decimeters

d. 926 cubic centimeters to cubic decimeters:

1 cubic centimeters = 0.001 cubic decimeters

so 926 cubic centimeters = 926 x 0.001 = 0.926

Answer 2

a)35 cubic meters=35000 liters.

b)450 cubic centimeters= 450 milliliters.

c)19.74 cubic meters=19740 cubic decimeters.

d)926 cubic centimeters=0.926 cubic decimeters.

Explanation:

a) since one cubic meter = 1000 liters,

35 cubic meters=35 X 1000=35000 liters

b) Since one cubic centimeters=1 milliliter,

450 cubic centimeters=450 milliliters.

c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.

Hence 19.74 cubic meters=
`19.74X10^(3) =19740` cubic decimeters.

d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.

Hence 926 cubic centimeters=
`926X0.1^(3)=0.926` cubic decimeters.