Ratio of Lengths = 1 : 2
⠀⠀ ⌬ Ratio of Breadths = 3 : 5
⠀⠀ ⌬ Ratio of Heights = 4 : 5
Let the Ratio of Volumes be A : B
\underline{\bigstar\:\textsf{According to the given Question :}}
★According to the given Question :
\begin{gathered}:\implies\sf \dfrac{A}{B}=\dfrac{l \times b \times h}{l' \times b' \times h'}\\\\\\:\implies\sf \dfrac{A}{B} = \dfrac{1 \times 3 \times 4}{2 \times 5 \times 5}\\\\\\:\implies\sf \dfrac{A}{B} = \dfrac{3 \times 2}{5 \times 5}\\\\\\:\implies\sf \dfrac{A}{B} = \dfrac{6}{25}\\\\\\:\implies\underline{\boxed{\sf A :B = 6 :25}}\end{gathered}
:⟹
B
A
=
l
′
×b
′
×h
′
l×b×h
:⟹
B
A
=
2×5×5
1×3×4
:⟹
B
A
=
5×5
3×2
:⟹
B
A
=
25
6
:⟹
A:B=6:25
⠀
\therefore\:\underline{\textsf{Required ratio of volumes is \textbf{6:25}}}.∴
Required ratio of volumes is 6:25
.
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