Question
How many cubes with the side length of 1/2 inch does it take to fill the the prisim with length of 12 width of 4 height of 3
Answers
Answered by
GPT 3.5
It would take 288 cubes with a side length of 1/2 inch to fill the prism with a length of 12, width of 4, and height of 3.
Calculation:
Volume of the prism = length x width x height
Volume of the prism = 12 x 4 x 3 = 144 cubic inches
Volume of each cube = (1/2)^3 = 1/8 cubic inches
Number of cubes needed = Volume of the prism / Volume of each cube
Number of cubes needed = 144 / (1/8) = 144 x 8 = 1152
Therefore, it would take 1152 cubes with a side length of 1/2 inch to fill the prism.
Calculation:
Volume of the prism = length x width x height
Volume of the prism = 12 x 4 x 3 = 144 cubic inches
Volume of each cube = (1/2)^3 = 1/8 cubic inches
Number of cubes needed = Volume of the prism / Volume of each cube
Number of cubes needed = 144 / (1/8) = 144 x 8 = 1152
Therefore, it would take 1152 cubes with a side length of 1/2 inch to fill the prism.