Math, asked by arunima1274, 11 months ago



Find the volume, the total surface area, the lateral surface area and the diagonal of a cube each
of whose edges measures :
(i) 8 m
(ii) 6.5 cm
(iii) 2 cm 6 mm
(Take 3 = 1.73 in each case)

Answers

Answered by shivjal
12

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

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