Answered

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A 9-inch cube has a volume of

a. [tex]243 \, \text{yd}^3[/tex]
b. [tex]729 \, \text{in}^3[/tex]
c. [tex]818 \, \text{in}^2[/tex]
d. [tex]1,243 \, \text{in}^3[/tex]

Sagot :

GinnyAnswer
To determine the volume of a 9-inch cube, we need to use the formula for the volume of a cube, which is given by:

[tex]\[ V = \text{side length}^3 \][/tex]

Here, the side length of the cube is 9 inches. Therefore,

[tex]\[ V = 9^3 \][/tex]

Calculating [tex]\( 9^3 \)[/tex], we get:

[tex]\[ 9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729 \][/tex]

Therefore, the volume of the cube is 729 cubic inches.

Now, let's look at the given options:
a. [tex]\( 243 \, \text{yd}^3 \)[/tex]
b. [tex]\( 729 \, \text{in}^3 \)[/tex]
c. [tex]\( 818 \, \text{in}^2 \)[/tex]
d. [tex]\( 1,243 \, \text{in}^3 \)[/tex]

The correct answer is:

[tex]\[ \boxed{729 \, \text{in}^3} \][/tex]
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