Question

The volume, length and breadth of a cuboid are 60 cube centimetre, 5 cm and 4 cm respectively. Then its height is __ cm. *
2 points
a) 6
b)3
c)12
d)15​

Answer 1

❍ Let the height of cuboid be x cm respectively.

_____________________

$\underline{\bigstar\boldsymbol{According\;to\;the\;given\;Question:}}$

• Length of cuboid is 5 cm.
• Breadth of cuboid is 4 cm.
• Volume of cuboid is 60 cm³.
• Find the height of cuboid.

$\\ \large{\underline{\frak{As\;we\;know\;that:}}}\\ \\ \\ \red{\bigstar}\;\boxed{\textsf{Volume\;of\;cuboid\;=\;lbh}}$

Therefore,

$\longrightarrow\sf{60\;=\;5 \times 4 \times x}\\ \\ \\ \longrightarrow\sf{60\;=\;20 \times x}\\ \\ \\ \longrightarrow\sf{60\;= \; 20x}\\ \\ \\ \longrightarrow\sf{x=\cancel{\frac{60}{20}}}\\ \\ \\ \longrightarrow\underline{\boxed{\frak{x\;=\;3}}}\;\green{\bigstar}$

• Hence,The height of cuboid is 3 cm.
• option(b)is the right answer.

______________________________

Answer 2

Given:

• Length of cuboid is 5 cm.
• Breadth of cuboid is 4 cm.
• Volume of cuboid is 60 cm³.

To find:

• Height of the cuboid

Solution:

$\rm\red\bigstar{Volume \: o f \: cuboid= l×b×h}$

Therefore,

$\begin{gathered}\implies \rm{60\;=\;5 \times 4 \times x}\\ \\ \\ \implies \rm{60\;=\;20 \times x}\\ \\ \\ \implies\rm{60\;= \; 20x}\\ \\ \\ \implies\rm{x=\cancel{\frac{60}{20}}}\\ \\ \\ \implies\underline{\boxed{\frak{x\;=\;3}}}\;\green{\bigstar}\end{gathered}$

Hence, the correct option is b) 3.

Thank you!

@itzshivani