The solids in each pair are similar. Find the surface area for solid B.
Solid A: Surface area = 25 units squared.
Scale factor = 5
To find the surface area for solid B, you need to know the scale factor between the two solids. The scale factor determines how the dimensions of the shapes are related to each other.
In this case, the scale factor is given as 5, which means that each dimension of solid B is 5 times larger than the corresponding dimension of solid A. Since surface area is determined by the dimensions of a shape, the surface area of solid B will be larger than that of solid A by a factor of 5^2 = 25.
To find the surface area for solid B, you need to multiply the surface area of solid A (given as 25 units squared) by the scale factor squared:
Surface area of solid B = Surface area of solid A * (Scale factor)^2
= 25 * (5)^2
= 25 * 25
= 625 units squared
Therefore, the surface area for solid B is 625 units squared.