CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A model of a ship is made to a scale 1 : 300.
(i) The length of the model of the ship is 2 m. Calculate the length of the ship.
(ii) The area of the deck of the ship is 180,000 m2. Calculate the area of the deck of the model.
(iii) The volume of the model is 6.5 m3. Calculate the volume of the ship.

Open in App
Solution

Scale factor = k = 1/300

(i) length of model = k * actual length of the ship

=> actual length of the ship = 2 * 300 = 600 m

(ii) area of the deck of the model = k^2 * area of the deck of the ship

=>(1/300)^2 * 180000 m^2

=> 2 m^2

(iii) volume of the model = k^3 * volume is the ship

=> volume of the ship = (1/k^3)*6.5 m^3

=> (300)^3*6.5 m^3

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Similar Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon