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8_murik_8 [283]
4 years ago
15

Please help me with this math question!!!!!

Mathematics
1 answer:
julia-pushkina [17]4 years ago
4 0
Hey there 

4\sqrt{32} + 6 \sqrt{50}

Let us do the radical part separately, 
\sqrt{32} = \sqrt{16} x \sqrt{2}
= 4 \sqrt{2}

4 ( 4 \sqrt{2} ) = 16 \sqrt{2}

\sqrt{50} = \sqrt{25} x \sqrt{2}
= 5\sqrt{2}

6 (5\sqrt{2} ) = 30 \sqrt{2}

Add them together now:
16 \sqrt{2}+ 30\sqrt{2}
46 \sqrt{2}
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<h2><u>Given :</u></h2><h2 />
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\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}

<h2><u>To Find :</u></h2>

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\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}

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<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>

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{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Lateral \: Surface \: Area {\small_{(Cube)}} = 4 a² }}}}}

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\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{ \red{\sf{ Total \: Surface \: Area {\small_{(Cube)}} = 6a² }}}}}

\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}

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\\{\longmapsto{\qquad{\sf{ \cancel\dfrac{324}{4} = a² }}}}

{\longmapsto{\qquad{\sf{ LSA = 4a² }}}}  \\  \\

{\longmapsto{\qquad{\sf{ 324 }}}}

\longmapsto{\qquad{\sf{ 81 = a²}}}

{\longmapsto{\qquad{\sf{ \sqrt{81} = a }}}} \\ \\

{\qquad{\textsf{ Side of the Cube = {\pink{\sf{ 9 \: cm}}}}}}

\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}

<u>~ Calculating the</u><u> </u><u> Volume :</u>

\begin{gathered}{ \red{\longmapsto{\qquad{\sf{ Volume = a³ }}}}} \\ \\ \  { \pink{\longmapsto{\qquad{\sf{ Volume = 9³ }}}} }\\ \\ \ { \green{\longmapsto{\qquad{\sf{ Volume = 9 \times 9 \times 9 }}}}} \\ \\ \ { \purple{\qquad{\textsf{ Volume of the Cube = {\green{\sf{ \boxed{\longmapsto  \sf729 \: cm³ }}}}}}}}\end{gathered}

<u>~ Calculating the</u><u> Total Surface Area :</u>

{\longmapsto{\qquad{\sf{ TSA = 6a² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9 \times 9 }}}}

{\longmapsto{\qquad{\sf{ TSA = 6 \times 81 }}}} \\ \\ \ {\qquad{\textsf{ Total Surface Area of the Cube = {\red{\sf{ 486 \: cm² }}}}}}

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\begin{gathered} \\ {\pink{\underline{\rule{75pt}{9pt}}}}{\blue{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}\end{gathered}

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