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123F

  • 4 years ago

What is the volume of this composite solid? A)588in3 B)784in3 C)915in3 D)980in3

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  1. 123F
    • 4 years ago
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  2. dpflan
    • 4 years ago
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    looks like this is made up of 3 objects: 2 cubes and a triangular prism

  3. 123F
    • 4 years ago
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    yes

  4. dpflan
    • 4 years ago
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    you have all the dimensions, so you just need to find the volume of each object and sum them

  5. 123F
    • 4 years ago
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    yes

  6. 123F
    • 4 years ago
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    but how?

  7. dpflan
    • 4 years ago
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    volume is \[length * width * height\]

  8. dpflan
    • 4 years ago
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    for instance, with the first rectangular prism on the left, 8in by 7in by 7in

  9. 123F
    • 4 years ago
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    cool

  10. 123F
    • 4 years ago
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    triangular prism?

  11. dpflan
    • 4 years ago
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    volume is the product of those 3 values, and the same for the other rectangular prism, now with the triangular prism just remember that \[A=\frac{1}{2}*base*height\]

  12. dpflan
    • 4 years ago
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    so you then multiply A by the 3rd dimension

  13. 123F
    • 4 years ago
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    so, length∗width∗height A=1\2∗base∗height

  14. dpflan
    • 4 years ago
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    and because you are multiplying values with "inches" as the units, the volume is in inches cubed, \[in^3\]

  15. 123F
    • 4 years ago
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    thank you

  16. dpflan
    • 4 years ago
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    no problem, if you need to check your answer I'm around

  17. Moderator
    • 4 years ago
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    hey moderator my computer say its forbidden to get on here why is that

  18. 123F
    • 4 years ago
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    what do i use for the triangular prism?

  19. 123F
    • 4 years ago
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    dpfan

  20. dpflan
    • 4 years ago
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    yes?

  21. dpflan
    • 4 years ago
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    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....

  22. 123F
    • 4 years ago
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    7*7*8 = 392 7*7*8 = 392 8*7/2=28 so 392+392+28=812in3

  23. _Bugzbunny_
    • 7 months ago
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    but 812 is not in the decisions

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