Question

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

Answer 1

Answer: The second option.

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)`