Question
James made the body of a robot out of two cubes.
2 cubes. One cube has side lengths of 6 inches, and the other cube has side lengths of 10 inches.
What is its volume?
54 inches cubed
136 inches cubed
1,216 inches cubed
5,096 inches cubed
2 cubes. One cube has side lengths of 6 inches, and the other cube has side lengths of 10 inches.
What is its volume?
54 inches cubed
136 inches cubed
1,216 inches cubed
5,096 inches cubed
Answers
GPT-4o mini
To find the total volume of the robot made from the two cubes, we need to calculate the volume of each cube separately and then add them together.
The formula for the volume of a cube is:
\[
\text{Volume} = \text{side length}^3
\]
1. For the first cube with a side length of 6 inches:
\[
\text{Volume}_1 = 6^3 = 6 \times 6 \times 6 = 216 \text{ cubic inches}
\]
2. For the second cube with a side length of 10 inches:
\[
\text{Volume}_2 = 10^3 = 10 \times 10 \times 10 = 1000 \text{ cubic inches}
\]
Now, we add the volumes of both cubes:
\[
\text{Total Volume} = \text{Volume}_1 + \text{Volume}_2 = 216 + 1000 = 1216 \text{ cubic inches}
\]
Thus, the total volume of the robot is **1,216 inches cubed**.
The formula for the volume of a cube is:
\[
\text{Volume} = \text{side length}^3
\]
1. For the first cube with a side length of 6 inches:
\[
\text{Volume}_1 = 6^3 = 6 \times 6 \times 6 = 216 \text{ cubic inches}
\]
2. For the second cube with a side length of 10 inches:
\[
\text{Volume}_2 = 10^3 = 10 \times 10 \times 10 = 1000 \text{ cubic inches}
\]
Now, we add the volumes of both cubes:
\[
\text{Total Volume} = \text{Volume}_1 + \text{Volume}_2 = 216 + 1000 = 1216 \text{ cubic inches}
\]
Thus, the total volume of the robot is **1,216 inches cubed**.