Danny needs to buy sand for this box. He wants to nearly fill the box leaving only 6 inches empty at the top. How much sand does Danny need if the length is 12 feet the width is 2 feet and the height is 3 feet.

I first found the volume which was 72 feet and since 1 ft=12 inches and he only was 6 inches empty I did half of 1 foot and I got my answer which was 71.5 ft of sand

sand height is 2.5 feet (3' - half foot)

12 * 2 * 2.5 = 12 * 5 = 60 ft^3

doing it your way

72 - (2*12*(1/2))

is
72 - 12

= 60 ft^3 again

Thank you

To find the amount of sand Danny needs, you are correct in first finding the volume of the box. The volume of a rectangular box is calculated by multiplying its length, width, and height.

In this case, the length is 12 feet, the width is 2 feet, and the height is 3 feet. So the volume of the box is calculated as:

Volume = Length x Width x Height
Volume = 12 ft x 2 ft x 3 ft
Volume = 72 cubic feet

Next, you need to convert cubic feet to cubic inches, since you want to find the amount of sand in inches. We know that 1 foot is equal to 12 inches, so 1 cubic foot is equal to (12 inches) x (12 inches) x (12 inches) = 1728 cubic inches.

Therefore, the volume of the box in cubic inches is calculated as:
Volume (in inches) = Volume (in feet) x 1728 (conversion factor)
Volume (in inches) = 72 ft³ x 1728 in³/ft³
Volume (in inches) = 124,416 cubic inches

Now, you said that Danny wants to leave only 6 inches empty at the top of the box. So we subtract this 6 inches from the overall volume to get the amount of sand needed:

Volume of sand = Volume (in inches) - 6 inches
Volume of sand = 124,416 in³ - 6 in³
Volume of sand = 124,410 cubic inches

Therefore, Danny needs 124,410 cubic inches of sand to nearly fill the box.