Question

james made the body of a robot out of two cubes. what is its volume? 54 in.³ 1,216 in.³ 5,096 in.³ 136 in.³

Explanation:

Step1: Find the edge length of the small cube

The height of the large cube is \(10\) in. The total height of the two - cube structure is \(16\) in. So the edge length of the small cube is \(16 - 10=6\) in.

Step2: Calculate the volume of the large cube

The volume formula of a cube is \(V = s^{3}\), where \(s\) is the edge length. For the large cube with \(s = 10\) in, \(V_{1}=10^{3}=10\times10\times10 = 1000\) in\(^{3}\).

Step3: Calculate the volume of the small cube

For the small cube with \(s = 6\) in, \(V_{2}=6^{3}=6\times6\times6=216\) in\(^{3}\).

Step4: Calculate the total volume

The total volume \(V = V_{1}+V_{2}\). So \(V=1000 + 216=1216\) in\(^{3}\).

Answer:

\(1,216\) in\(^{3}\)