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# Question 15 The volume of a 9 -inch cube is $\qquad$ . O a. 243 cu yd O b. 729 cu in O c. 818 sq in O d. 1,243 cu in
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the given information

- We have a cube with a side length of 9 inches - We need to calculate the volume of this cube

Step 3:
: Recall the volume formula for a cube

- Where $$s$$ is the length of one side
- The volume of a cube is calculated by cubing the length of one side

Step 4:
: Calculate the volume

- $$V = 729$$ cubic inches
- Volume = 9^{3}

Step 5:
: Check the given options

- Looking at the options, we see that 729 cu in is option b.

Final Answer

Key insights: - Volume of a cube is always the side length cubed - Always pay attention to the units (cubic inches in this case) - Carefully calculate and match with the given options