Question

The volume of a cuboid is 3,36,000 cm. If its base area is 5,600 cm², determine its height​

Answer 1

Answer:

HEIGHT IS 60 CM.

Step-by-step explanation:

$h = \frac{volume}{area \: of \: base} \\ \\ = \frac{336000}{5600} \\ \\ = \frac{3360}{56} \\ \\ = 60 \: cm$

Answer 2

Given,

Volume of cuboid $\[ = 336000c{m^3}\]$

Base area $\[ = 5600c{m^2}\]$

Solution,

Consider the length, breadth and height are $\[l,\]$ $\[b,\]$ and $\[h\]$.

Volume of cuboid $\[ = l \times b \times h\]$

Base area $\[ = l \times b\]$

Calculate the height of the cuboid.

$\[\begin{array}{l}l \times b \times h = 336000c{m^3} - - - \left( 1 \right)\\l \times b = 5600c{m^2} - - - - - \left( 2 \right)\end{array}\]$

Divide equation 1 and 2.

$\[\frac{{l \times b \times h}}{{l \times b}} = \frac{{336000}}{{5600}}\]$

$\[ \Rightarrow h = 60cm\]$

Hence the height of the cuboid is $\[ \ 60cm\]$.