Question

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.

Answer 1

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 inches³

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

V2=s³
V2=(3 inches)³
V2=27 inches³

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

Vt=V1-V2
Vt=60 inches³-27 inches³
Vt=33 inches³