Answer:
The answer is "224".
Explanation:
Given:
Length (L) = 8 inches
Width (W) = 6 inches
Height (H)= 6 inches
Formula:
[tex]Volume = length \times width \times height\\\\[/tex]
[tex]=8 \times 6 \times 6\\\\= 288 \ \ \text{cubic inches}\\\\[/tex]
The cube side is cut out length = 4 inches
The cube cut out volume = [tex]a^3[/tex]
[tex]= 4^3 \\\\ = 64[/tex]
calculating the volume of the composite solid:
[tex]= 288 - 64\\\\= 224 \ \ \text{cubic inches}[/tex]