Math, asked by desrajrakesh2020, 28 days ago

Find the volume of a rectangular box with length, breadth and height as 2ab, 5b and c respectively.

Answers

Answered by Saby123
28

Solution :

The rectangular box has the dimensions :

length : 2 ab

breadth : 5b

height : 5c

Volume of a cuboid :

>> lbh

>> 2ab × 5b × c

>> 10ab²c

This is the required answer.

 \setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf 5b \:cm}\put(7.7,6.3){\sf 2ab \:cm}\put(11.3,7.45){\sf 5c\:cm}\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}}\end{picture}

Answered by Anonymous
37

Given :

  • Length of Rectangle = 2ab
  • Breadth of Rectangle = 5b
  • Height of Rectangle = c

 \\ \rule{200pt}{3pt}

To Find :

  • Volume = ?

 \\ \rule{200pt}{3pt}

Solution :

 {\underline{\pmb{\frak{ Formula \; Used \; :- }}}}

  •  {\underline{\boxed{\purple{\sf{ Volume = Length \times Breadth \times Height }}}}}

 \\ \qquad{\rule{150pt}{1pt}}

 {\underline{\pmb{\frak{ Calculating \; the \; Volume \; :- }}}}

 {\longmapsto{\qquad{\sf{ Volume = Length \times Breadth \times Height }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Volume = 2ab \times 5b \times c}}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Volume = 10a{b}^{2} \times c}}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ Volume = 10 \; a{b}^{2}c }}}}}}}}

 \\ \qquad{\rule{150pt}{1pt}}

 {\underline{\pmb{\frak{ Therefore \; :- }}}}

❛❛ Volume of the given Cuboid is 10ab²c . ❜❜

 \\ {\underline{\rule{300pt}{9pt}}}

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