Question

find the height of a cuboid whose volume is 275. cm 3 and base area 25 cm2​

Answer 1

$\huge\red{\underline{\mathtt{ANSWER:-}}}$

11cm

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bold{Given}\begin{cases}\sf{Base\:area=25cm{}^{2}}\\ \sf{Volume=275cm{}^{3}}\end{cases}$

We know that the base area =Length ×Breadth

$\tt Then\: Length\times Breadth =25cm{}^{2}$

$\boxed{\sf{Volume\:of\: cuboid=Length\:times Breadth\times Height}}$

$\tt \longrightarrow Volume=L\times B\times H\\ \\ \tt\longrightarrow 275=25\times H\\ \\ \tt\longrightarrow \frac{\cancel{275}}{\cancel{25}}=Height\\ \\ \tt\longrightarrow 11=Height$

The Height of Cuboid is 11 cm

$\large\mathtt{\red{Verification:-}}$

Volume of cuboid=Length ×breadth×Height

$\bold{Given}\begin{cases}\sf{Base\:area=25cm{}^{2}}\\ \sf{Volume=275cm{}^{3}}\\ \sf{we\:find\:height=11}\end{cases}$

Now put this value :-

$\sf\leadsto 275=25×11\\ \\ \sf\leadsto 275=275$

L.H.S=R.H.S

$\boxed{\mathfrak{Hence\: verified}}$

$\huge{\boxed {\purple{\tt{Height=11cm}}}}$

#BAL

#Answerwithquality