A cuboid is 24 cm long ,20 cm wide and 15 cm high . A similar cuboid is 16 cm long . what is it's height

Just set up a simple ratio

L : W : H = 24 : 20 : 15 = 16 : w : h

so h/15 = 16/24
h = 15(16/24) = 10

To find the height of the similar cuboid, we need to use the concept of similar shapes.

The ratio between the lengths of the corresponding sides of two similar shapes is equal. Therefore, we can set up the following proportion:

Length of the first cuboid : Length of the second cuboid = Height of the first cuboid : Height of the second cuboid

Using the given measurements:

24 cm : 16 cm = 15 cm : h

To solve for "h," we can cross-multiply:

24 cm × h = 16 cm × 15 cm

24h = 16 × 15

Simplifying the right side:

24h = 240

Divide both sides by 24 to isolate "h":

h = 240 ÷ 24

h = 10

Therefore, the height of the similar cuboid is 10 cm.

To find the height of a similar cuboid, we need to use the concept of proportional ratios. Let's set up a proportion using the lengths of the two cuboids.

The length of the first cuboid is 24 cm, and the length of the second cuboid is 16 cm. Their heights will be in the same ratio.

Let's denote the height of the second cuboid as h.

The proportional ratio can be set up as:

24 cm : 16 cm = 15 cm : h

To solve for h, we can cross-multiply and then divide:

24 * h = 16 * 15

24h = 240

h = 240 / 24

h = 10 cm

Therefore, the height of the similar cuboid with a length of 16 cm is 10 cm.