glyptictriton8290 glyptictriton8290
  • 10-04-2021
  • Mathematics
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A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.

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MrRoyal
MrRoyal MrRoyal
  • 10-04-2021

Answer:

The height is 7 inches

Step-by-step explanation:

Given

[tex]Base\ Area = 15in^2[/tex]

[tex]Volume = 105in^3[/tex]

Required

Determine the height [missing from the question]

The volume of a hexagonal prism is:

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

Make Height the subject

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

[tex]Height = \frac{105in^3}{15in^2}[/tex]

[tex]Height = \frac{105in}{15}[/tex]

[tex]Height = 7in[/tex]

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