Question

40 ( x=\text { length (ft) of one side of the large storage space } ) 41 which expression represents the total volume of the two storage spaces? ( (s + 12)^3 ) ( s^3 + 12^3 ) ( s^3 + 12 ) ( 3s + 12 )

Explanation:

Step1: Recall the volume formula for a cube

The volume formula for a cube is \(V = s^{3}\), where \(s\) is the side - length of the cube.

Step2: Find the volume of the large cube

For the large cube with side - length \(s\) (in feet), its volume \(V_{1}=s^{3}\) (cubic feet) according to the volume formula \(V = s^{3}\).

Step3: Find the volume of the small cube

For the small cube with side - length \(12\) (in feet), its volume \(V_{2}=12^{3}\) (cubic feet) according to the volume formula \(V = s^{3}\).

Step4: Calculate the total volume

The total volume \(V = V_{1}+V_{2}\). Substituting the values of \(V_{1}\) and \(V_{2}\), we get \(V=s^{3}+12^{3}\).

Answer:

\(s^{3}+12^{3}\)