ponytailtrouble5173 ponytailtrouble5173
  • 19-03-2021
  • Mathematics
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A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? i need it in a fraction plz

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nuuk nuuk
  • 21-03-2021

Answer: [tex]\frac{385}{4}\ in.^3[/tex]

Step-by-step explanation:

Given

Length of prism [tex]L=3\ \frac{1}{2}=\frac{7}{2}\ in.[/tex]

Width of prism [tex]w=5\ in.[/tex]

Height of prism [tex]h=\frac{11}{2}\ in.[/tex]

The volume of a rectangular prism is

[tex]\Rightarrow V=L\times w\times h[/tex]

Putting values

[tex]\Rightarrow V=\frac{7}{2}\times 5\times \frac{11}{2}\\\\\Rightarrow V=\frac{385}{4}\ in.^3[/tex]

The volume of prism is [tex]\frac{385}{4}\ in.^3[/tex]

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