A cuboid is 4cm long, 7cm wide and 10cm high. A similar cuboid is 25cm high. Calculate its length and width?
I answered this below just a few minutes ago.
25/10 = 5/2
all of the other dimensions are multiplied by that same ratio.
To calculate the length and width of a similar cuboid, we can use the concept of proportional sides.
The ratio of the corresponding sides of two similar objects is the same. In this case, the ratio of the heights of the two cuboids is given as 25 cm / 10 cm.
To find the corresponding length and width, we multiply the ratio by the length and width of the original cuboid. Let's calculate:
Ratio of heights: 25 cm / 10 cm = 2.5
Length of the similar cuboid = 4 cm * 2.5 = 10 cm
Width of the similar cuboid = 7 cm * 2.5 = 17.5 cm
Therefore, the length of the similar cuboid is 10 cm and the width is 17.5 cm.