Conversion formula

The conversion factor from teaspoons to cubic inches is 0.30078124999914, which means that 1 teaspoon is equal to 0.30078124999914 cubic inches:

1 tsp = 0.30078124999914 in3

To convert 45.7 teaspoons into cubic inches we have to multiply 45.7 by the conversion factor in order to get the volume amount from teaspoons to cubic inches. We can also form a simple proportion to calculate the result:

1 tsp → 0.30078124999914 in3

45.7 tsp → V_(in3)

Solve the above proportion to obtain the volume V in cubic inches:

V_(in3) = 45.7 tsp × 0.30078124999914 in3

V_(in3) = 13.745703124961 in3

The final result is:

45.7 tsp → 13.745703124961 in3

We conclude that 45.7 teaspoons is equivalent to 13.745703124961 cubic inches:

45.7 teaspoons = 13.745703124961 cubic inches

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cubic inch is equal to 0.072750007104702 × 45.7 teaspoons.

Another way is saying that 45.7 teaspoons is equal to 1 ÷ 0.072750007104702 cubic inches.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that forty-five point seven teaspoons is approximately thirteen point seven four six cubic inches:

45.7 tsp ≅ 13.746 in3

An alternative is also that one cubic inch is approximately zero point zero seven three times forty-five point seven teaspoons.

Conversion table

teaspoons to cubic inches chart

For quick reference purposes, below is the conversion table you can use to convert from teaspoons to cubic inches