leahssss
leahssss leahssss
  • 25-03-2024
  • Mathematics
contestada

the volume of the prisim is 2,688 cubic units. What is the value of the missing side?

please help!!​

the volume of the prisim is 2688 cubic units What is the value of the missing sideplease help class=

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dashataran
dashataran dashataran
  • 25-03-2024

Answer:

[tex]\text{56 units}[/tex]

Step-by-step explanation:

[tex]\text{Solution: }[/tex]

[tex]\text{Area of triangular base (A) = }\dfrac{1}{2}\times \text{base}\times \text{height}(h)=\dfrac{1}{2}\times 12\times 8=48\text{sq.units}[/tex]

[tex]\text{Given, Volume of prism }=2,688\text{ cubic units}\\\\\text{or, Area of base}\times\text{Length of prism}=2,688\\\\\text{or, }48\times x=2,688\\\\\text{or, }x=\dfrac{2,688}{48}\\\\\therefore\ x=56\text{units}[/tex]

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