notcreative5128 notcreative5128
  • 02-06-2021
  • Mathematics
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This prism has a right triangle for a base. What is the volume of the prism?

This prism has a right triangle for a base What is the volume of the prism class=

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hxoney3432
hxoney3432 hxoney3432
  • 02-06-2021

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

 

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

 

Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,.

Each cube has a volume of 1/27 cubic inches.

 

Therefore total volume = 192 x 1/27 = 192/27 = 64/9

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