Question

find the height of a cuboid whose base area is 345 cm^2 and volume is 3105 cubic cm​

Answer 1

Answer:

Height of the cuboid = 9 cm

Step-by-step explanation:

Given :

Base area of the cuboid = 345 cm²

Volume of the cuboid = 3105 cm³

To find :

The height of the cuboid

Taken :

Let the height of the cuboid be x

So , to find the height of the cuboid use this formula -:

$\boxed{\sf{V=Ba\times h}}$

Where,

V = Volume

Ba = Base area

h = Height

Solution :

$:\implies\sf{{3105cm}^{3}={345cm}^{2}\times x}$

$:\implies\sf{\cancel{\dfrac{{3105cm}^{3}}{{345cm}^{2}}}=x}$

$:\implies\sf{9cm=x}$

So , the height of the cuboid is 9 cm .

Answer 2

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Correct \: Question: }}}}}$

Find the height of a cuboid whose base area is 345 cm² and volume is 3105 cm³.

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Given: }}}}}$

• Area of base of cuboid = 345 cm²
• Volume of cuboid = 3105 cm³

$\mathfrak{ \large{ \pink{ \underline{ \purple{ To \: Find: }}}}}$

• Height of cuboid

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Solution: }}}}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \mathfrak{ \underline{ \green{Formula \: to \: calculate \: the \: volume \: of \: cuboid}}}$

$\boxed{ \boxed {\mathfrak{ \large{ \star \: \: \: \: \: { \red{volume = length \times breadth \times height}}}}}}$

Now,

• Area = Length × Breadth

According to question,

$\large{ \tt \implies \: \: \: \: \: \: \: \: \: \: 345 \times h = 3105}$

$\large{ \tt \implies \: \: \: \: \: \: \: \: \: \: h = \frac{3105}{345}}$

$\large{ \tt \implies \: \: \: \: \: \: \: \: \: \boxed{ \orange{ \tt{h = 9}}}}$

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Hence:}}}}}$

The height of cuboid is 9 cm.