Question

Please help me answer I need this question right, one more wrong answer and I'll fail

Answer 1

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:

$V_A=s^{2}*h$

Where s is the side of the base and h is the height.

2. Then:

$V_A=(40cm)^{2}*50cm=80,000cm^{3}$

4. The volume of the missing part is calculated with the formula of a rectangular prism:

 $V_B=l*w*h$

Where l is the lenght, w is the width and h is the height. Then:

$V_B=(40cm)(40cm-35cm)(50cm-25cm)=5,000cm^{3}$

5. Therefore, you must subtract both volumes to obtained the volume of the figure:

$V_f=80,000cm^{3}-5,000cm^{3}=75,000cm^{3}$