Respuesta :
Answer:
64 inches^3
Step-by-step explanation:
Since it’s asking for equal squares, you would have to have six equivalent pieces, which would form a cube. The largest factor of 24 with one being 6 would have to be 4. Now you have the 6 sides of your cube. Each side has an edge that equals 4 inches. Taking the formula for volume(l•w•h), you get 4x4x4. 4x4=16 and 16x4=64! In the end, the volume would be 64 in^3
Answer:
1024 in³
Step-by-step explanation:
Volume = (24 - 2x)(24 - 2x)(x)
= 576x - 96x² + 4x³
dV/dx = 576 - 192x + 12x² = 0
x² - 16x + 48 = 0
x² - 12x - 4x + 48 = 0
x(x - 12) - 4(x - 12) = 0
(x - 12)(x - 4) = 0
x = 4, x = 12
x can not be 12,
Because 24 - 2(12) = 0
So x = 4
Volume = (24 - 8)(24 - 8)(4)
= 1024