Question

bethany attached two cubes side by side. what is the volume of the entire figure? 36 in³ 720 in³ 468 in³ 74 in³

Explanation:

Step1: Find the side length of the larger cube

The side length of the larger cube is \(12 - 5=7\) inches.

Step2: Calculate the volume of the smaller cube

The volume formula for a cube is \(V = s^3\), where \(s\) is the side - length. For the smaller cube with \(s = 5\) inches, \(V_1=5^3=125\) \(in^3\).

Step3: Calculate the volume of the larger cube

For the larger cube with \(s = 7\) inches, \(V_2 = 7^3=343\) \(in^3\).

Step4: Calculate the total volume

The total volume \(V=V_1 + V_2\). So \(V=125+343 = 468\) \(in^3\).

Answer:

\(468\) \(in^3\)