what would you have to do to change 10 cubic feet into cubic inces?

Answer 1

Multiply by 12^3.

There are 12 inches in a foot. If you divide a line a foot long into inches, you'd cut it into 12 pieces.

There are 12*12 square inches in a square foot. If you divide a square foot into square inches, you'd cut it 12 times lengthwise and 12 times widthwise, for 144 pieces. (The first set of cuts would give you 12 long strips one inch wide and a foot long. You'd then cut each of those into a dozen one-inch-by-one-inch squares.)

There are 12*12*12 cubic inches in a cubic foot. If you divide a cubic foot into cubic inches, you'd cut it 12 times lengthwise, 12 times widthwise, and 12 times heightwise, for 1,728 pieces. (The first set of cuts would leave you with one-foot-square slabs one inch thick, sort of like tiles. The second set of cuts would leave you with one-inch by one-inch rods one foot long. The third set of cuts would reduce those to one-inch by one-inch by one-inch cubes.)

There are 10 * 1,728 = 17,280 cubic inches in 10 cubic feet.

Answer 2

To convert feet to inches, you multiply by the conversion factor 12 in / 1 ft.

So the conversion factor for cubic feet to cubic inches is
(12 in / 1 ft)^3 = 1728 in^3 / ft^3

So in this case 10 ft^3 * (1728 in^3 / 1ft^3) = 17,280 in^3

This makes sense if you think about it. If you had a bunch of 1" x 1" x 1" cubes of wood and wanted to stack them together to get one big cube that was 1'x1'x1', you'd need 12 rows of cubes across, back, and up.

Answer 3

Keep in mind that a cubic foot is equal to (foot)^3.

Since (12 inches) = (foot), we have the conversion:
(12 inches)^3 = (foot)^3

A cubic foot is 1728 cubic inches. Therefore, 10 cubic feet is 17,280 cubic inches.

Answer 4

The method by which you accomplish this is to multiply the number of cubic feet by the number of cubic inches in one cubic foot. Since a cubic foot is a cube with dimensions 12x12x12 in inches, there are 1,728 cubic inches in a cubic foot. We then, of course, multiply this by 10 and arrive at 17,280 cubic inches.

Answer 5

Multiply by 12^3.

Answer 6

A square foot has 12x12 ins or 144 ins. A cubic foot has 144x12ins or 1728ins. So ten cubic feet has 17280cubic ins.

Answer 7

Multiply by 1728.

Answer 8

Multiply by 1728.

Answer 9

1 ft = 12 in.
Therefore 1 ft^3 = 12^3 = 1728 in^3.
10 cu.ft. = 1728*10 = 17280 cu. in.

Answer 10

10 ft^3 = ? in^3

1 ft = 12 in
1 ft^2 =12^2in^2
1 ft^3 =12^3in^3= 1728in^3

10ft^3 = 10x1728in^3=17280in^3