Question

Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own

little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?

Answer 1

512

Explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

8×8×8 = 512

512 muffin boxes can fit into the larger box.

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2) The volume of a muffin box in cubic feet is ...

((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

(2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

(8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.