Question

In a model of a ship the mass is 9 cm high,While the mass of the actual ship is 12 m high.If the length of the ship is 28 m, How long is the model ship?

Answer 1

the mass of model ship=9cm

mass of actual ship=12m=1200cm

length of ship=28m=2800cm

let x be the length of the model

$\frac{9}{x} = \frac{1200}{2800} \\ \frac{3}{x} = \frac{4}{28} \\ \frac{3}{x} = \frac{1}{7} \\ x = 21cm \\ hence \: ans \: is \: 21cm$

Answer 2

Question :-

In a model ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. if the length of the ship is 28 m, how long is the model ship?

to find :-

how m how long is the model ship ?

solution:-

Let, the length of model ship = x

we have table for this ,

$\begin{tabular}{I clc I cl clclcl}</p><p>\cline{1-3} length of actual ship (in m) & 12& 28\\</p><p>\cline{1-3} length of model ship (in cm)& 9&x \\</p><p>\cline{1-3} </p><p>\end{tabular}$

$\small\underline\textsf{\huge{[}\small{Note:- this is an direct proportion\huge{ ]}}}$

$\large\implies\tt \frac{12}{9} = \frac{28}{x}$

$\large\implies\tt x + 12$

$\large\implies\tt28 \times 9$

$\large\implies\tt x = \dfrac{\cancel{28 \times 9}}{\cancel{12}}$

$\large\implies\boxed{\tt 21 cm}$

the model ship is 21 cm long.