Respuesta :

Step-by-step explanation:

EQUATION: Volume=length x width x height.

V=l×w×h

1620cm^3=9cm×9cm×xcm

1620cm^3=81cm^2 ×xcm

xcm= 1620cm^3/81cm^2

xcm= 20cm

Question :-

Write and solve an equation to find the missing dimension of the prism.

Volume = 1620 cm³

width = 9 cm

length = 9 cm

Equation =

Height =

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Solution :-

Given Information :-

  • Width of the prism ➢ 9 cm
  • Length of the prism ➢ 9 cm
  • Volume of the prism ➢ 1620 cm³

To Find :-

  • Equation used
  • Height ( in cm ) of prism

Formula Used :-

  • Volume of prism = Length × Width × Height

For calculating the height, the formula is,

  • [tex] \boxed{\sf height = \frac{volume}{length \times width}} [/tex]

Calculation :-

Substituting the values given above in the formula, We get,

⇒ [tex] \sf height = \frac{1620}{9 \times 9} [/tex]

⇒ [tex] \sf height = \frac{1620}{81} [/tex]

⇒ [tex] \sf height = 20 \:cm [/tex]

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Final Answers :-

  • The equation to calculate height [tex] \sf height = \frac{volume}{length \times width} [/tex]

  • [tex] \sf height\: of\: the \:prism \:= 20 \:cm [/tex]

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