Respuesta :

gmany

Answer:

[tex]\large\boxed{S.A.=368\ cm^2}[/tex]

Step-by-step explanation:

The formula of a surface area of a rectagular prism:

[tex]S.A.=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have the dimensions 6cm × 14cm × 5cm. Substitute:

[tex]S.A.=2(6\cdot14+6\cdot5+14\cdot5)=2(84+30+70)=2(184)=368\ cm^2[/tex]

asuwafohjames

The surface area of the rectangular prism is 368 cm²

To calculate the surface area of the prism, we use the formula below.

Formula:

  • As = 2(lw+lh+wh).............. Equation 1

Where:

  • As = Surface area of the prism
  • l = Lenght of the prism
  • h = height of the prism
  • w = width of the prism.

From the question,

Given:

  • l = 6 cm
  • w = 14 cm
  • h = 5 cm

Substitute these values into equation 1

  • As = 2[(6×14)+(14×5)+(6×5)]
  • As = 2(84+70+30)
  • As = 2(184)
  • As = 368 cm²

Hence, The surface area of the rectangular prism is 368 cm².

Learn more about surface area here: https://brainly.com/question/76387

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