esperanza0769
Answered

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A cube with a volume of 64 cubic meters is Scaled by a factor of 5. What is the volume of The modified cube in cubic meters? (Note: Do not the include units in your answer)

A Cube With A Volume Of 64 Cubic Meters Is Scaled By A Factor Of 5 What Is The Volume Of The Modified Cube In Cubic Meters Note Do Not The Include Units In Your class=

Sagot :

boffeemadrid

Answer:

[tex]8000[/tex]

Step-by-step explanation:

[tex]V[/tex] = Volume of the cube = [tex]64\ \text{m}^3[/tex]

[tex]k[/tex] = Scale factor = [tex]5[/tex]

Volume increases by the cube of the scale factor, So

Volume of new cube will be

[tex]V'=k^3V[/tex]

[tex]\Rightarrow V'=5^3\times 64[/tex]

[tex]\Rightarrow V'=125\times 64[/tex]

[tex]\Rightarrow V'=8000\ \text{m}^3[/tex]

Volume of the new cube is [tex]8000[/tex].

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