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olasank [31]
2 years ago
15

What is the surface area of the prism?

Mathematics
2 answers:
serg [7]2 years ago
6 0

<u>520 m²</u>

Here given:

length: 10 m
width: 8 m
height: 10 m

surface area of rectangular prism:

2(lw+hw+hl)

2(10*8+10*8+10*10)

2(80+80+100)

2(260)

520 m²

Nady [450]2 years ago
4 0

Answer:

  • Surface Area = <u>5</u><u>2</u><u>0</u><u> </u><u>m²</u><u> </u><u>(</u><u> </u><u>Option </u><u>C </u><u>is </u><u>correct</u><u> </u><u>)</u>

Step-by-step explanation:

In this question we are given a rectangular prism which having :

  • Length = <u>1</u><u>0</u><u> </u><u>m</u>

  • Width = <u>8</u><u> </u><u>m</u>

  • Height = <u>1</u><u>0</u><u> </u><u>m</u>

And we are asking to find the <u>surface</u><u> area</u><u> of</u><u> </u><u>prism </u><u>.</u><u> </u>We know that ,

\blue{ \underline{ \boxed{ \sf{Surface \:  Area_{(Rectangular  \: Prism)} =2(lw + wh + hl )}}}}

<u>Where </u><u>,</u>

  • <u>l</u> = Length of prism

  • w = Width of prism

  • h = Height of prism

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

Now solving by substituting value of length, width and height in the formula . So ,

\longmapsto \quad \: 2( (10 \times 8 )+ (8 \times 10) + (10 \times 10))

\longmapsto \quad \:2(80 + 80 + 100)

\longmapsto \quad \:2(160 + 100)

\longmapsto \quad \:2(260)

\longmapsto \quad \:   \underline{\boxed{\frak{520 \: m {}^{2} }}}✦

  • <u>Henceforth,</u><u> </u><u>surface</u><u> </u><u>area </u><u>of </u><u>given </u><u>prism</u><u> </u><u>is </u><em><u>5</u><u>2</u><u>0</u><u> </u><u>square</u><u> </u><u>metres</u></em><u> </u><u>which </u><u>means </u><em><u>option</u><u> </u><u>C</u></em> <u>is </u><u>the</u><u> correct</u><u> answer</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Leaning</u></h2>
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