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The surface area of the right rectangular prism, with dimensions shown, is 160cm^2. The figure is not drawn to scale. ​ What is the height of the prism?

The Surface Area Of The Right Rectangular Prism With Dimensions Shown Is 160cm2 The Figure Is Not Drawn To Scale What Is The Height Of The Prism class=

Answer :

Solution:

Note that:

  • Volume = LBH = 160 cm²

Substituting the values into the equation.

  • Volume = LBH = 160 cm²
  • => (5)(2)H = 160 cm²

Find the height (H).

  • => 10H = 160 cm²
  • => H = 16 cm

Height be x

[tex]\\ \rm\hookrightarrow V=LBH[/tex]

[tex]\\ \rm\hookrightarrow 10x=160[/tex]

[tex]\\ \rm\hookrightarrow x=16[/tex]

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