A cuboid is 4cm long, 7cm wide and 10cm high. a similar cuboid is 25cm high, calculate its length and width? I don't know it, please solve it for me
If they are similar then there sides are all in the same proporiton.
25/10 = 2.5 the ratio is 2.5
4cm long times 2.5 = 10
How would you find the width
7cm times ___ = ____
25/10=2.5
7*2.5=17.5
Length =10cm,width =17.5cm
Sure, I can help you with that! Let's use the concept of similarity between the two cuboids.
We know that the ratio of corresponding sides of similar shapes is the same. So, if we take the ratio of the heights, it should be equal to the ratio of the lengths and widths.
Given:
Length of the first cuboid (small): 4 cm
Width of the first cuboid (small): 7 cm
Height of the first cuboid (small): 10 cm
Height of the second cuboid (big): 25 cm
Let's find the ratio of the heights:
Ratio of heights = Height of the big cuboid / Height of the small cuboid
Ratio of heights = 25 cm / 10 cm
Ratio of heights = 2.5
Now, we can use this ratio to find the length and width of the big cuboid:
Length of the big cuboid = Length of the small cuboid * Ratio of heights
Length of the big cuboid = 4 cm * 2.5
Length of the big cuboid = 10 cm
Width of the big cuboid = Width of the small cuboid * Ratio of heights
Width of the big cuboid = 7 cm * 2.5
Width of the big cuboid = 17.5 cm
So, the length of the big cuboid is 10 cm and the width is 17.5 cm.
Remember, these calculations assume that the two cuboids are similar, which means their shapes are proportional.
To solve this problem, we need to determine the ratio of the height between the two cuboids, and then apply that ratio to the length and width of the first cuboid to find the corresponding values for the second cuboid.
Let's start by finding the ratio of the heights:
Ratio = height of the second cuboid / height of the first cuboid
Ratio = 25 cm / 10 cm = 2.5
Now, we can use this ratio to find the length and width of the second cuboid:
Length of the second cuboid = Length of the first cuboid * Ratio
Width of the second cuboid = Width of the first cuboid * Ratio
Length of the second cuboid = 4 cm * 2.5 = 10 cm
Width of the second cuboid = 7 cm * 2.5 = 17.5 cm
Therefore, the length of the second cuboid is 10 cm and the width is 17.5 cm.