Question
6. A cube has 4-inch edges. What is its volume? \( \begin{array}{llll}\text { F. } 12 \text { in }^{3} & \text { G. } 16 \mathrm{in}^{3} & \text { H. } 64 \mathrm{in}^{3} & \text { I. } 96 \text { in }\end{array} \)
Ask by Davison Fitzgerald. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the cube is 64 cubic inches.
Solution
To find the volume of a cube, we use the formula:
\[
V = s^3
\]
where \( s \) is the length of a side.
Given that \( s = 4 \) inches, substitute into the formula:
\[
V = 4^3 = 64 \text{ in}^3
\]
Thus, the volume of the cube is \( 64 \text{ in}^3 \).
The correct answer is H. \( 64 \mathrm{in}^{3} \).
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Bonus Knowledge
To find the volume of a cube, you use the formula \( V = s^3 \), where \( s \) is the length of an edge. In this case, the edge length is 4 inches. So, \( V = 4^3 = 64 \) cubic inches. Therefore, the answer is H. 64 in³. And if you were to stack those cubes, you’d have a mini tower of 4-inch edges showcasing your spatial awareness! It’s a fun way to visualize volume – imagine adding more cubes and turning it into a game of how many can you balance!