A rectangular prism's base is 8 feet long. It is 2 1/2 times taller then it is long and 1/2 as wide as it is tall. What is the volume of the prism?

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The volume is 640 ft3.

To find a volume of a rectangular prism is: [tex] V=lwh [/tex]


Length: 8 feet

Width: [tex] 2w=8 \:\:\:\:\:\:w=\frac{8}{2} \:\:\:\:\:\: w=4 [/tex]

Height: [tex] h=\frac{5*8}{2}\:\:\:\:\:\:2h=40\:\:\:\:\:\:h=20 [/tex]


Plug in the values and solve: [tex] V=8*4*20=640 [/tex]

Answer:

640 ft³

Step-by-step explanation:

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