Answer:
36 cubes
Explanation:
Dimension of rectangular prism :
Length: Fraction 1 and 1 over 2 units,
Width: Fraction 1 over 2 unit
Height: Fraction 3 over 4 unit
Volume of rectangular prism, V = Length * width * height
V = 1 1/2 * 1/2 * 3/4
V = 3/2 * 1/2 * 3/4 = 9 / 16 unit³
Volume of cube :
Side length of cube, s = 1/4
Volume, V = s³ = (1/4 * 1/4 * 1/4) = 1/64 units
Number cubes required :
9/16 ÷ 1/64
9/16 * 64/1 = 576 / 16 = 36
36 cubes are required.