anonymous
  • anonymous
What is the volume of this composite solid? A)588in3 B)784in3 C)915in3 D)980in3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
looks like this is made up of 3 objects: 2 cubes and a triangular prism
anonymous
  • anonymous
yes

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anonymous
  • anonymous
you have all the dimensions, so you just need to find the volume of each object and sum them
anonymous
  • anonymous
yes
anonymous
  • anonymous
but how?
anonymous
  • anonymous
volume is \[length * width * height\]
anonymous
  • anonymous
for instance, with the first rectangular prism on the left, 8in by 7in by 7in
anonymous
  • anonymous
cool
anonymous
  • anonymous
triangular prism?
anonymous
  • anonymous
volume is the product of those 3 values, and the same for the other rectangular prism, now with the triangular prism just remember that \[A=\frac{1}{2}*base*height\]
anonymous
  • anonymous
so you then multiply A by the 3rd dimension
anonymous
  • anonymous
so, length∗width∗height A=1\2∗base∗height
anonymous
  • anonymous
and because you are multiplying values with "inches" as the units, the volume is in inches cubed, \[in^3\]
anonymous
  • anonymous
thank you
anonymous
  • anonymous
no problem, if you need to check your answer I'm around
Moderator
  • Moderator
hey moderator my computer say its forbidden to get on here why is that
anonymous
  • anonymous
what do i use for the triangular prism?
anonymous
  • anonymous
dpfan
anonymous
  • anonymous
yes?
anonymous
  • anonymous
looking at the picture, it looks as though the length of the left side the triangle is equal to 8 and the length of the other side is equal to 7....
anonymous
  • anonymous
7*7*8 = 392 7*7*8 = 392 8*7/2=28 so 392+392+28=812in3
anonymous
  • anonymous
but 812 is not in the decisions

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