A rectangular prism has
the surface area of
460 m2. The length is 5
cm and the height is 12
cm. What is the width of
the rectangular prism?

Respuesta :

Lanuel

Based on the calculations, the width of the rectangular prism is equal to 1,352.91 meters.

Given the following data:

  • Surface area of rectangular prism = 460 [tex]m^2[/tex]
  • Length of rectangular prism = 5 cm to m = 0.05 m.
  • Height of rectangular prism = 12cm to m = 0.12 m.

The surface area of a rectangular prism.

Mathematically, the surface area of a rectangular prism is given by this formula:

[tex]A =2(wl+hl+hw)[/tex]

Where:

A is the surface area.

  • l is the length.
  • w is the width.
  • h is the height.

Substituting the given parameters into the formula, we have;

[tex]460 =2(w0.05+0.12(0.05)+0.12w)\\\\460=2(0.17w+0.006)\\\\460=0.34w+0.012\\\\0.34w=460-0.012\\\\0.34w=459.988\\\\w=\frac{459.988}{0.34}[/tex]

w = 1,352.91 meters.

Read more on rectangular prism here: brainly.com/question/3867601

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