PLEASE HELP ME DONT SKIP!
A carton in the shape of a cube measuring 8 inches tall is filled with colored plastic cubes measuring 1 inch across each face. The cubes sell for 25 cents each. How much would it cost to buy all of the cubes in the carton? Enter your answer in the box. $_______
WILL MAKE BRAINLIST!

Respuesta :

$128 is the answer.
The carton has a volume of 512 square inches because since it is a cube 8 inches tall, that is also the length and width. Each plastic cube is 1 square inch, so 512 cubes will fit. All the cubes in total will cost $128 .
If the carton is shaped like a cube, the length will be equal across all sides.
So every side length (length, width, height) is 8 inches.

Find the volume of the carton (cube) to see how many colored plastic cubes fit into the carton. 

Volume of a cube: length x width x height, or side length cubed.

Plug 8 inches into the formula: 8 x 8 x 8 = 512 inches³

The carton can fit 512 cubes. If each cube is 25 cents each, multiply 512 by 0.25 to get how much it would cost to buy all the cubes.

512 x 0.25 = 128

It would cost $128 to buy all the cubes in the carton.