Question

A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.​

Answer 1

Answer:

area of Godown=40×25×15 m³

area of wooden crates=1.5×1.25×0.5 m³

Answer 2

$\dag\:\underline{\sf AnsWer :}$

• Here we are given that, Length of godown is 40 m , Breadth of godown is 25 m and Height of godown is 15 m. and we are also given a crate whose Length is 1.5 m, Breadth is 1.25 m and Height is 0.5 m. and we need to find how many wooden crates can be stored in the godown.

Both godown and crate are in the shape of cuboid. So, first we will find the volume of cuboid and then volume of 1 crate. To find the volume of godown and crate we will use the given below formula :

• Volume of cuboid = Length × Breadth × Height

$\bigstar \: \underline{\textbf{Volume of godown :}}$

$:\implies \sf Volume \: of \: godown = Length \times Breadth \times Height$

$:\implies \sf Volume \: of \: godown = 40 \times 25 \times 15$

$:\implies \underline{ \boxed{ \sf Volume \: of \: godown = {15000 \: m}^{3}}}$

• Similarly, find the volume of 1 crate by using the same formula :

$\bigstar \: \underline{\textbf{Volume of wooden crate :}}$

$\dashrightarrow\:\sf Volume \: of \: 1 \: crate = Length \times Breadth \times Height$

$\dashrightarrow\:\sf Volume \: of \: 1 \: crate = 1.5 \times 1.25\times 0.5$

$\dashrightarrow\: \underline{ \boxed{\sf Volume \: of \: 1 \: crate = 0.9375 \: {m}^{3}}}$

$\bigstar \: \underline{\textbf{According to the Question Now :}}$

$\longrightarrow\:\:\sf Number \: of \: wooden \: crates = \dfrac{Volume \: of \: godown}{Volume \: of \: 1 \: crate}$

$\longrightarrow\:\:\sf Number \: of \: wooden \: crates = \dfrac{15000}{0.9375}$

$\longrightarrow\:\: \underline{ \boxed{\sf Number \: of \: wooden \: crates = 16000}}$