Answer: The second option.
Step-by-step explanation:
1. Calculate the first volume assuming that the figure is completed (with no missing part). Therefore, you must apply the formula for calculate the volume of a square prism:
[tex]V_A=s^{2}*h[/tex]
Where s is the side of the base and h is the height.
2. Then:
[tex]V_A=(40cm)^{2}*50cm=80,000cm^{3}[/tex]
4. The volume of the missing part is calculated with the formula of a rectangular prism:
[tex]V_B=l*w*h[/tex]
Where l is the lenght, w is the width and h is the height. Then:
[tex]V_B=(40cm)(40cm-35cm)(50cm-25cm)=5,000cm^{3}[/tex]
5. Therefore, you must subtract both volumes to obtained the volume of the figure:
[tex]V_f=80,000cm^{3}-5,000cm^{3}=75,000cm^{3}[/tex]
