Question

Find the height of area a cuboid whose base is 54 cm² and the volume is 216cm³​

Answer 1

Answer:

Given:

⇒Area =l×b=180

⇒Volume of cuboid =l×b×h=900

⇒180×h=900

⇒h=

180

900

=5 cm

Answer 2

$\; \star \; {\underline{\boxed{\pmb{\orange{\frak{ \; Given\; :- }}}}}}$

➺ Volume = 216cm^3

➺ Base Area = 54cm^2

$\star \;{\underline{\boxed{\pmb{\red{\frak{ \; To \; Find \; :- }}}}}}$

➺ Height = ?

$\; \star \; {\underline{\boxed{\pmb{\purple{\frak{ \; SolutioN \; :- }}}}}}$

$❒{\underline{\underline{\sf{ \; Calculating \: The \: Height \; \: : - }}}}$

${\underline{\underline{\sf{ \; Formula \; Used \; :- }}}}$

${ \underline{ \boxed {\sf{{Volume_{(Cuboid)}=Base Area × Height }}}}}$

$\sf \longmapsto{Volume_{(cuboid)}=Base \: Area × Height }$

$\sf \longmapsto{216=54× Height }$

$\sf \longmapsto{ \dfrac{216}{54} = Height }$

$\sf \longmapsto{ \cancel \dfrac{216}{54} = Height }$

${\; \longrightarrow \; {{ \pink{ \underline{ \boxed{ \frak{Height = 4cm}}}}}} }\;\red\bigstar$

$\begin{gathered} \\ \\ \end{gathered}$

$\therefore$Height of the cuboid is 3cm.

$\begin{gathered}\begin{gathered}\begin{gathered} \\ {\underline{\rule{300pt}{7pt}}} \end{gathered} \end{gathered}\end{gathered}$