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anonymous

  • one year ago

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. A. 5x5 + 18x^4 + 30x^3 B. 5x6 + 18x^4 + 30x^3 C. 6x5 + 18x^4 + 30x^3 D. 6x6 + 18x^4 + 30x^3

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  1. Jadedry
    • one year ago
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    You have to multiply these equations: \[(3x^2) * (2x) * (x^2 +3x+5)\] to find the volume. Do you know how to proceed?

  2. mathstudent55
    • one year ago
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    V = 3x^2 * 2x * (x^2 + 3x + 5) Multiply the first two factors together, then multiply by the trinomial.

  3. anonymous
    • one year ago
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    I don't know how to do that

  4. anonymous
    • one year ago
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    heyyy

  5. Jadedry
    • one year ago
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    Okay, that's fine. Just start with the first two values: \[3x^2 * 2x\] What does that equal?

  6. Shikamaru11
    • one year ago
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    To calculate the volume of rectangular prism or cuboid, count the number of small cubes in one layer. Next count how many cubes are there in the next layer and in the layer next. This gives the total Volume-rectangular prism.......

  7. Shikamaru11
    • one year ago
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    To calculate the volume of rectangular prism or cuboid, count the number of small cubes in one layer. Next count how many cubes are there in the next layer and in the layer next. This gives the total Volume-rectangular prism.......

  8. Shikamaru11
    • one year ago
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    heyy have you got the figure >>>>>>

  9. anonymous
    • one year ago
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    6x^2

  10. Jadedry
    • one year ago
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    Close, but incorrect. \[3x^2 * 2x\] = \[6x^3\] Now you need to multiply: \[6x^3 * (x^2 +3x + 5)\]

  11. Shikamaru11
    • one year ago
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    it's C ......... just simple algebric multiplication ma'm \[3x ^{2} * 2x = 6x ^{3} and then 6x ^{3} * x ^{2}+3x+5= 6x ^{5}+18x ^{4}+30x ^{3}\] and you should know how to multiplyy powers............. :\

  12. mathstudent55
    • one year ago
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    Keep in mind that \(x = x^1\), so \(3x^x \times 2x =\) \(= 3x^2 \times 2x^1\) \(= 6 x^{2 + 1} \) \(= 6x^3\)

  13. Jadedry
    • one year ago
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    @mathstudent55 Well put, thanks for the elaboration. c:

  14. Shikamaru11
    • one year ago
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    yeah the powers are added while multiplying............. :) @mathstudent55 Sir nice one and thnx all for the participation :D @Jadedry @mariyakelly :) stay happy guys

  15. mathstudent55
    • one year ago
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    Now, just like you multiplied 3x^2 * 2x, do 6x^3 * (x^2 + 3x + 5) using the distributive property. That means: \(6x^3 \times (x^2 + 3x + 5)\) \(= 6x^3 \times x^2 + 6x^3 \times 3x + 6x^2 \times 5\) Do each multiplication in the line above and separate them with + signs

  16. mathstudent55
    • one year ago
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    @Jadedry Thanks!

  17. mathstudent55
    • one year ago
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    @Shikamaru11 Thanks!

  18. Shikamaru11
    • one year ago
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    no prob. Sir @mathstudent55 :)

  19. anonymous
    • one year ago
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    I'm not ever using this in life? don't tell me what I should now how to do, I reached out for help for a reason. Don't be annoying, thankyou for your help goodbye

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