Answered

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Self Check: Lesson 7

Question 19 (5 points)

What is the volume of a cube with a side length of 9 cm?

A. 752 cm³
B. 697 cm³
C. 0:47

Sagot :

GinnyAnswer
To find the volume of a cube with a side length of 9 cm, follow these steps:

1. Understand the Formula: The volume [tex]\( V \)[/tex] of a cube can be determined using the formula:
[tex]\[ V = a^3 \][/tex]
where [tex]\( a \)[/tex] is the length of a side of the cube.

2. Substitute the Side Length: For this problem, the side length [tex]\( a \)[/tex] is given as 9 cm. Substitute [tex]\( 9 \)[/tex] for [tex]\( a \)[/tex] in the volume formula:
[tex]\[ V = 9^3 \][/tex]

3. Calculate the Volume: Raise 9 to the power of 3:
[tex]\[ 9^3 = 9 \times 9 \times 9 = 729 \][/tex]

4. Write the Final Answer: Hence, the volume of the cube is:
[tex]\[ 729 \, \text{cm}^3 \][/tex]

So, the volume of a cube with a side length of 9 cm is 729 cm³.
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