Answer:
(A∩B)´U C´
U= {1,2,3,4,5,67,8}
A={1,2,4,5}
B={2,3,5,6}
C= {4,5,6,7}
A ∩ B={2,5}
(A ∩B)´ = U -(A∩B)={1,2,3,4,5,67,8} - {2,5}={1,3,4,6,7,8}
C´= U - C={1,2,3,4,5,67,8} - {4,5,6,7}= {1,2,3,8}
(A∩B)´U C´={1,3,4,6,7,8} U {1,2,3,8}= {1,2,3,4,6,7,8}
paint numbers {1,2,3,4,6,7,8}
see figure
The ratio between the surfaces areas of the two prisms is equal to 6.25.
<h3>How to get the ratio of the surface areas?</h3>
The ratio between the volumes of the prisms is:
This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:
And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:
If you want to learn more about scale factors, you can read: