## How Many Worms Solution

First find the volume of Mrs. Pitasky's classroom:

You can work in yards:

11 1/3 x 9 1/3 x 3 = 317 1/3 cubic yd

But then you have to convert to cubic inches by multiplying by 27 cubic ft in 1 cubic yd and 1728 cubic inches in 1 cubic ft.

Or you can work in feet:

34 x 28 x 9 = 8568 cubic ft

But then you have to convert to cubic inches by multiplying by 1728 cubic inches in 1 cubic ft.

Or you can work in inches:

408 x 336 x 108 = 14,805,504 cubic in

Using any of these methods, you should use a volume of 14,805,504 cubic in, since the volume of the classroom has to have the same units as the volume of a worm.

Then you have to find the volume of a worm.

Using the cylinder formula, with a radius of 0.08 inches and a height of 3 inches, you find that each worm has a volume of 0.060288 cubic inches.

Next, divide the volume of the classroom by the volume of a worm to find how many worms will fit in the classroom:

To find the cost of this many worms, divide by 1000, since there are 1000 worms in 1 pound, and then multiply by $49.00 per pound, for a grand total of

You can work in yards:

11 1/3 x 9 1/3 x 3 = 317 1/3 cubic yd

But then you have to convert to cubic inches by multiplying by 27 cubic ft in 1 cubic yd and 1728 cubic inches in 1 cubic ft.

Or you can work in feet:

34 x 28 x 9 = 8568 cubic ft

But then you have to convert to cubic inches by multiplying by 1728 cubic inches in 1 cubic ft.

Or you can work in inches:

408 x 336 x 108 = 14,805,504 cubic in

Using any of these methods, you should use a volume of 14,805,504 cubic in, since the volume of the classroom has to have the same units as the volume of a worm.

Then you have to find the volume of a worm.

Using the cylinder formula, with a radius of 0.08 inches and a height of 3 inches, you find that each worm has a volume of 0.060288 cubic inches.

Next, divide the volume of the classroom by the volume of a worm to find how many worms will fit in the classroom:

**245,579,618 worms**!!!To find the cost of this many worms, divide by 1000, since there are 1000 worms in 1 pound, and then multiply by $49.00 per pound, for a grand total of

**$12,033,401**!!!!