Question
Bethany attached two cubes side by side.
2 cubes. One cube has side lengths of 7 inches, and the other cube has side lengths of 5 inches.
What is the volume of the entire figure?
36 inches cubed
74 inches cubed
468 inches cubed
720 inches cubed
2 cubes. One cube has side lengths of 7 inches, and the other cube has side lengths of 5 inches.
What is the volume of the entire figure?
36 inches cubed
74 inches cubed
468 inches cubed
720 inches cubed
Answers
Answered by
GPT-4o mini
To find the total volume of the figure formed by the two attached cubes, we need to calculate the volume of each individual cube and then add those volumes together.
The formula for the volume \( V \) of a cube with side length \( s \) is:
\[
V = s^3
\]
1. **Volume of the first cube (side length = 7 inches)**:
\[
V_1 = 7^3 = 7 \times 7 \times 7 = 343 \text{ cubic inches}
\]
2. **Volume of the second cube (side length = 5 inches)**:
\[
V_2 = 5^3 = 5 \times 5 \times 5 = 125 \text{ cubic inches}
\]
3. **Total volume of the figure**:
\[
V_{\text{total}} = V_1 + V_2 = 343 + 125 = 468 \text{ cubic inches}
\]
Thus, the volume of the entire figure is **468 inches cubed**.
The formula for the volume \( V \) of a cube with side length \( s \) is:
\[
V = s^3
\]
1. **Volume of the first cube (side length = 7 inches)**:
\[
V_1 = 7^3 = 7 \times 7 \times 7 = 343 \text{ cubic inches}
\]
2. **Volume of the second cube (side length = 5 inches)**:
\[
V_2 = 5^3 = 5 \times 5 \times 5 = 125 \text{ cubic inches}
\]
3. **Total volume of the figure**:
\[
V_{\text{total}} = V_1 + V_2 = 343 + 125 = 468 \text{ cubic inches}
\]
Thus, the volume of the entire figure is **468 inches cubed**.