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Theodore has a candy jar that is shaped like a triangular prism. The triangular base has a base of 6 cm and a height of 4 cm. If the jar can hold 60 cm³ of candy, how tall is the jar?

Respuesta :

iGreen
Use the formula for the volume of a triangular prism:

[tex]\sf V=\dfrac{1}{2}ach[/tex]

Where 'a' is the triangular base base, 'c' is the triangular base height, and 'h' is the height.

Plug in what we know:

[tex]\sf 60=\dfrac{1}{2}(6)(4)h[/tex]

Simplify:

[tex]\sf 60=12h[/tex]

Divide 12 to both sides:

[tex]\sf h=\boxed{\sf 5}[/tex]