destineedhuber5510 destineedhuber5510
  • 20-05-2021
  • Mathematics
contestada

A rectangular prisim has a base with an area of 200cm squared. The volume of the prism is 3,000cm cubed. What is the height of the prism?

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MrRoyal
MrRoyal MrRoyal
  • 25-05-2021

Answer:

[tex]Height = 15cm[/tex]

Step-by-step explanation:

Given

[tex]Base\ Area = 200cm^2[/tex]

[tex]Volume = 3000cm^3[/tex]

Required

The height

Volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

This gives

[tex]Height = \frac{3000cm^3}{200cm^2}[/tex]

[tex]Height = \frac{3000}{200}cm[/tex]

[tex]Height = 15cm[/tex]

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