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gogolik [260]
3 years ago
7

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

Mathematics
2 answers:
AlekseyPX3 years ago
6 0

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

Ymorist [56]3 years ago
3 0
<h2><u>Question :-</u></h2>

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

Volume = 1620 cm³

width = 9 cm

length = 9 cm

Equation =

Height =

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Width of the prism ➢</u> 9 cm
  • <u>Length of the prism ➢</u> 9 cm
  • <u>Volume of the prism ➢</u> 1620 cm³

<h3><u>To Find :-</u></h3>

  • Equation used
  • Height ( in cm ) of prism

<h3><u>Formula Used :-</u></h3>

  • Volume of prism = Length × Width × Height

<u>For calculating the height, the formula is,</u>

  • \boxed{\sf height =  \frac{volume}{length \times width}}

<h3><u>Calculation :-</u></h3>

<em><u>Substituting the values given above in the formula, We get,</u></em>

⇒ \sf height = \frac{1620}{9 \times 9}

⇒ \sf height =  \frac{1620}{81}

⇒ \sf height =  20 \:cm

<h3>___________________</h3>

<h2><u>Final Answers :-</u></h2>

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

  • \sf height\: of\: the \:prism \:=  20 \:cm

<h3>____________________</h3>
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