A solid metal cube of side 3 inches is placed in a rectangular tank whos length, width, and height are 3, 4 and 5 inches, respectively. what is the volume, in cubic inches, of water that the tank can now hold.

To solve this problem you must apply the proccedure shown below:

1. Yoy have that the rectangular tank has the following dimensions:

Length=3 inches

Widht=4 inches

Height=5 inches

2. Then, its volume is:

V1=LxWxH

V1=3 inchesx4 inchesx5 inches

V=60 inches ³

3. The sides of the solid metal cube are of 3 inches, therefore, its volume is:

V2=s ³

V2 = (3 inches) ³

V2=27 inches³

4. T he volume, in cubic inches, of water that the tank can now hold is:

Vt=V1-V2

Vt=60 inches ³-27 inches³

Vt=33 inches³