Question

find the volume,the lateral surface area ,the total surface area and the diagonal of the cube each of whose edges measure 9m (take √3 =1.73.)

Answer 1

cube contains no diagonal it is a three dimensional figure

Answer 2

Heya mate, Here is ur answer

Edge of cube = 9 m

$<b>Volume of cube =</b>$
${edge}^{3}$


$= {9}^{3}$

$= 729$


$<b><u> so, volume of cube =729 m^3</b></u>$




$<b>2.Lateral surface area of cube = 4× edge^2</b>$

$= 4 \times {9}^{2}$

$= 4 \times 81$


$= 324 {m}^{2}$

$<b><u>So, Lateral Surface Area of cube = 324 m^2</b></u>$




$<b>3.Total surface area of cube = 6×edge^2</b>$

$= 6 \times {9}^{2}$


$= 6 \times 81$


$= 486 \: m {}^{2}$

$<b><u>So, Total Surface Area of cube = 486 m^2</b></u>$




$<b>Diagonal of the cube =</b>$
$\sqrt{edge {}^{2} + {edge}^{2} + {edge}^{2} }$


$= \sqrt{3 \: {edge}^{2} }$


$= edge \sqrt{3}$


$= 9 \sqrt{3}$


$= 9 \times 1.73$


$= 15.57 \: m$

$<b><u>So, diagonal of cube=15.57 m </b></u>$

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Warm regards

@Laughterqueen

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