Math, asked by Pinkyyy01, 9 months ago

Find the volume and the total surface area of a cuboid, whose length = 15cm, breadth = 10cm & height = 8cm.​

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Answered by nitashachadha84
3

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Answered by XxRadhikaxX
13

☞ Question :-\\

Find the volume and total surface area of a cuboid, whose length = 15cm, breadth = 10cm & height = 8cm\\\\

☞ Given :-\\

  • length = 15cm
  • breadth = 10cm
  • height = 8cm\\\\

☞ To find :-\\

  • Volume and T.S.A. of the cuboid\\\\

☞ Solution :-\\

Refer the diagram :-\\

\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\put(8,5.5){15 cm}\put(3.8,6.3){10 cm}\put(11.2,7.5){8 cm}\end{picture}\\\\

Volume = l × b × h

= 10 × 5 × 8 cm³

= 400 cm³\\

Total surface area = lb + lb + lh + lh + bh + bh \\

➞ 2 (lb + lh + bh)

➞ 2 (15 × 10 × 15 × 8 + 10 × 8)

➞ 2 (150 + 120 + 80)

➞ 700 cm²\\

So,

  • Volume = 400 cm³
  • T.S.A. = 700 cm²
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