Question

5) The volume of a box is 720 cubic cm. If its length and breadth
are 18 cm and 8cm respectively, find its height.​

Answer 1

Answer:

Volume is always Area * Height.

lbh=720.

18*8*h=720.

144h=720.

h=720/144.

h=5cm.

Answer 2

${\mathtt{ \large{\underline{\underline{Given }}}}}$

• volume = 720 cm³
• length= 18cm
• breath= 8cm

${\mathtt{ \large{\underline{\underline{To \: find}}}}}$

Height

${\mathtt{ \large{\underline{\underline{Solution}}}}}$

The given box is in cuboidal shape.

So we know that the volume of cuboid is given as

${\underline{\boxed{\sf{{\color{red}volume \: of \: cuboid = length \times breath\times height }}}}}$

$\mathtt \color{orange}{Let \: us \: assume \: the \: height \: as \: 'h'}$

$\mathtt{ \underline{substitute \: the \: values} }$

$\sf{\implies 720 = 18×8× h} \\ \\ \sf{\implies h= \frac{720}{18×8}} \\ \\\sf{\implies \color{blue} h= 5 cm }$

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More to know!!

$\mathtt{⚡Total \: surface \: Area \: of \: cuboid= 2(lb + bh +lh)} \\ \\ \mathtt{⚡curved \: surface \: area \: of \: cuboid=2h(l + b)}\\ \\ \mathtt{⚡total \: surface Area \: of \: cube=6 {a}^{2} }\\ \\ \mathtt{⚡curved \: surface \: area \: of \: cube=4 {a}^{2} }\\ \\ \mathtt{⚡volume \: of \: cube = {a}^{3} }$

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