Respuesta :

Answer: 48

Step-by-step explanation: surface area = 2 (lw + hl + hw)

2 ( 2 x2 + 5x2 + 5x2)

2 (4+10+10)

2(24)

48 cm

The surface area of the rectangular prism with dimensions [tex]2[/tex] cm by [tex]2[/tex]cm by [tex]5[/tex] cm is [tex]48 cm^2.[/tex]

The surface area of a rectangular prism is [tex]2(lw+wh+lh)[/tex], where [tex]l[/tex] is length, [tex]w[/tex] is width, and [tex]h[/tex] is height.

A rectangular prism has dimensions of [tex]2[/tex] cm by [tex]2[/tex] cm by [tex]5[/tex] cm.

Let [tex]l=2[/tex] cm, [tex]w=2[/tex] cm and [tex]h=5[/tex] cm.

So, surface area [tex]= 2(lw+wh+lh)[/tex]

[tex]= 2 (2 \times 2 + 2 \times 5 + 2 \times 5)[/tex]

[tex]= 2 (4 + 10 + 10)[/tex]

[tex]= 2 (24)[/tex]

[tex]= 48 cm^2.[/tex]

So, the surface area of the rectangular prism is [tex]48 cm^2[/tex].

Learn more about surface area of a rectangular prism here;

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