The volume of a rectangular prism is $(100 x^{16} y^{12} z^{2})$ $(100x^16y^12z^2)$ . If the length of the prism is $4 x^{2} y^{2}$ $4x^2y^2$ and its width is $(5 x^{8} y^{7} z^{- 2})$ $(5x^8y^7z^-2)$ , how do you find the height of the prism y?

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The volume of a rectangular prism is $(100 x^{16} y^{12} z^{2})$ $(100x^16y^12z^2)$ . If the length of the prism is $4 x^{2} y^{2}$ $4x^2y^2$ and its width is $(5 x^{8} y^{7} z^{- 2})$ $(5x^8y^7z^-2)$ , how do you find the height of the prism y?

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Answer 1 · 2016-12-14T19:38:49

$5 x^{6} y^{3} z^{4}$ $5x^6y^3z^4$

Explanation:

width*length
$(4 x^{2} y^{2}) (5 x^{8} y^{7} z^{- 2})$ $(4x^2y^2)(5x^8y^7z^-2)$
$= 20 x^{10} y^{9} z^{- 2}$ $=20x^10y^9z^-2$
height=volume÷width multiplied by length
$\frac{100 x^{16} y^{12} z^{2}}{20 x^{10} y^{9} z^{- 2}}$ $(100x^16y^12z^2)/(20x^10y^9z^-2$
$= 5 x^{6} y^{3} z^{4}$ $=5x^6y^3z^4$ =h
check
Volume=width multiplied by length multiplied by height
$(5 x^{8} y^{7} z^{- 2}) (4 x^{2} y^{2}) (5 x^{6} y^{3} z^{4})$ $(5x^8y^7z^-2)(4x^2y^2)(5x^6y^3z^4)$
$= 100 x^{16} y^{12} z^{2}$ $= 100x^16y^12z^2$

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The volume of a rectangular prism is $(100 x^{16} y^{12} z^{2})$ $(100x^16y^12z^2)$ . If the length of the prism is $4 x^{2} y^{2}$ $4x^2y^2$ and its width is $(5 x^{8} y^{7} z^{- 2})$ $(5x^8y^7z^-2)$ , how do you find the height of the prism y?

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Explanation:

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The volume of a rectangular prism is (100x16y12z2)(100x^16y^12z^2). If the length of the prism is 4x2y24x^2y^2 and its width is (5x8y7z−2)(5x^8y^7z^-2), how do you find the height of the prism y?

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The volume of a rectangular prism is $(100 x^{16} y^{12} z^{2})$ $(100x^16y^12z^2)$ . If the length of the prism is $4 x^{2} y^{2}$ $4x^2y^2$ and its width is $(5 x^{8} y^{7} z^{- 2})$ $(5x^8y^7z^-2)$ , how do you find the height of the prism y?