Respuesta :

[tex]115 = l \times 2.5 \times 5.75[/tex]

[tex] \huge \mathrm{Answer࿐}[/tex]

given :

[tex]\longmapsto[/tex] volume = 115 yd³

Dimensions are :

  • [tex] 2\frac{1}{2} yd [/tex]

  • [tex] 5\frac{3}{4} yd [/tex]

  • L

We know,

[tex] \large \boxed{ \mathrm{volume = l \times b \times h}}[/tex]

  • [tex]115 = 2\frac{1}{2} \times 5\frac{3}{4} \times l[/tex]

  • [tex]l \times \dfrac{5}{2} \times \dfrac{23}{4} = 115[/tex]

  • [tex]l \times \dfrac{115}{8} = 115[/tex]

  • [tex]l = 115 \times \dfrac{8}{115} [/tex]

  • [tex]l = 8 \: yd[/tex]

Therefore Length of the prism is 8 yards.

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[tex]\mathrm{ \#TeeNForeveR}[/tex]

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