Answer:
The number of cubes = 11520 cubes
Step-by-step explanation:
∵ The length = 12 , width = 5 and height = 4
∴ The volume = 12 × 5 × 4 = 240 in³
∵ The length of the cube = 1/4 in
∴ The volume of cube = (1/4)³ = 1/64 in³
∵ 1/4 of the prism is filled
∴ 3/4 doesn't fill
∴ The empty volume = 3/4 × 240 = 180 in³
∴ The number of cubes = 180 ÷ 1/64 = 11520 cubes
