To solve the similar solids, you need to find the ratio of corresponding sides of the two figures.
For the cylinder with dimensions 15cm, 6cm and 5cm, the corresponding sides are the heights of the cylinders.
Let x be the height of the smaller cylinder. Then, we have:
15/24 = 6/8 = 5/x
Simplifying this equation, we get:
x = 3.2 cm
So, the height of the smaller cylinder is 3.2 cm.
For the triangular prism with dimensions 24mm, 8mm, and 4mm, the corresponding sides are the heights of the prism.
Let y be the height of the smaller prism. Then, we have:
24/8 = y/4
Simplifying this equation, we get:
y = 12 mm
So, the height of the smaller prism is 12 mm.
Can somebody explain how to solve the similar solids 15cm, 6cm and 5,x that is a cylinder and the triangle one 24mm and 8mm,4mm
5 answers
Thank you so much but it's still a little hard to understand 😇😇
I apologize if my explanation was difficult to understand. Let me try to explain it again using simpler terms.
The ratio of corresponding sides of similar solids is the same. In other words, if we have two solid figures that have the same shape but different sizes, then the ratio of any pair of corresponding sides of the two figures will be the same.
To find the height of the smaller cylinder and the smaller triangular prism, we need to use the ratio of the heights of the larger cylinder and triangular prism to the corresponding heights of the smaller ones.
For example, the height of the larger cylinder is 15cm. The corresponding height of the smaller cylinder is x. We know that the ratio of the heights is the same, so we can write:
15/24 = x/8
This means that the height of the smaller cylinder is 8/24 times (or 1/3) the height of the larger cylinder. We can solve for x by cross-multiplying and simplifying:
15*8 = 24*x
x = 15*8/24
x = 5
Therefore, the height of the smaller cylinder is 5cm. You can use the same method to find the height of the smaller triangular prism by using the ratios of the heights:
24/8 = y/4
y = 24*4/8
y = 12
So, the height of the smaller triangular prism is 12mm.
The ratio of corresponding sides of similar solids is the same. In other words, if we have two solid figures that have the same shape but different sizes, then the ratio of any pair of corresponding sides of the two figures will be the same.
To find the height of the smaller cylinder and the smaller triangular prism, we need to use the ratio of the heights of the larger cylinder and triangular prism to the corresponding heights of the smaller ones.
For example, the height of the larger cylinder is 15cm. The corresponding height of the smaller cylinder is x. We know that the ratio of the heights is the same, so we can write:
15/24 = x/8
This means that the height of the smaller cylinder is 8/24 times (or 1/3) the height of the larger cylinder. We can solve for x by cross-multiplying and simplifying:
15*8 = 24*x
x = 15*8/24
x = 5
Therefore, the height of the smaller cylinder is 5cm. You can use the same method to find the height of the smaller triangular prism by using the ratios of the heights:
24/8 = y/4
y = 24*4/8
y = 12
So, the height of the smaller triangular prism is 12mm.
Thank you so much 😊
You're welcome! Feel free to ask if you have any further questions or if there's anything else I can help you with.