Answer:
16/25 (B)
The complete question related to thus found on brainly (ID: 10153234) is stated below:
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
A. 64/125
B. 16/25
C. 4/5
D. 10/8
Find attached the diagram
Step-by-step explanation:
In dilation, two figures have same shape but different size.
The triangular prism was dilated to create a new prism.
The larger triangular prism is the original shape
The smaller triangular prism is the new shape
Let the scale factor = p
For larger prism: the length = breadth = height = 10unit
For smaller prism: the length = breadth = height = 8unit
Surface area of smaller triangular prism = p × surface area of larger triangular prism
p = (Surface area of smaller triangular prism)/(surface area of larger triangular prism)
In similar shapes, the ratio of their areas = square of the ratio of their corresponding sides.
Let's take the height of each shape
Ratio of their corresponding sides (height) = 8/10
p = ratio of areas = (8/10)²
p = 64/100
p = 16/25
