mmerza2 mmerza2
  • 28-02-2021
  • Mathematics
contestada

a) A rectangular prism
10 m
10 m
50 m
Volume:
Surface Area:

Respuesta :

gmany
gmany gmany
  • 28-02-2021

Answer:

[tex]\huge\boxed{V=5,000m^3}\\\boxed{SA=2,200m^2}[/tex]

Step-by-step explanation:

The formula of a volume of a rectangular prism [tex]a\times b\times c[/tex]:

[tex]V=abc[/tex]

The formula of a surface area of a rectangular prism [tex]a\times b\times c[/tex]:

[tex]SA=2(ab+ac+bc)[/tex]

We have

[tex]a=10m;\ b=10m;\ c=50m[/tex]

Subtitute:

[tex]V=(10)(10)(50)=5,000(m^3)\\\\SA=2\bigg((10)(10)+(10)(50)+(10)(50)\bigg)\\=2(100+500+500)=2(1100)=2,200(m^2)[/tex]

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