brandysaling brandysaling
  • 08-05-2020
  • Mathematics
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what is the height of a rectangular prism that has a length of 4 cm width od 5 cm and a volume of 120 cm3?

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ouiouibaguette
ouiouibaguette ouiouibaguette
  • 08-05-2020

h = 6 cm

The formula for the volume of a rectangular prism is [tex]V = lwh[/tex]. In order to figure out the height you need to divide [tex]wh[/tex] from both sides of the equation. As a result, you'd get [tex]\frac{V}{lw}=h[/tex]. Then you'd rearrange the equation so that it's [tex]h=\frac{V}{lw}[/tex].

[tex]h=\frac{V}{lw}=\frac{120}{4(5)}=\frac{120}{20}=6cm[/tex]

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