AleshkaK543303 AleshkaK543303
  • 03-11-2022
  • Mathematics
contestada

Consider this prism. Enter the volume of the rectangular prism, in cubic centimeters. 3 3/4, 3 1/3, 2 1/2.

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EmaniQ189945 EmaniQ189945
  • 03-11-2022

Solution

For this case we have the following dimensions:

x = 3 3/4 = 15/4

y= 3 1/3 = 10/3

z= 2 1/2 = 5/2

Then we can find the volume with the following formula:

[tex]V=x\cdot y\cdot z=\frac{15}{4}\cdot\frac{10}{3}\cdot\frac{5}{2}=\frac{125}{4}ft^3[/tex]

Then we can convert to cm^3 like this:

[tex]\frac{125}{4}ft^3\cdot\frac{(30.48\operatorname{cm})^3}{1ft^3}=884901.46\operatorname{cm}^3[/tex]

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