Answer:
The surface area of the similar prism is 56 square inches
Step-by-step explanation:
Given surface area of prism, A = 224 square inches
The total surface area of a triangular prism = 2 x Area of triangle + ph
Area of triangle = ¹/₂bh
Where;
b is the base of the prism
h is the height of the prism
p is the perimeter of lateral surfaces
Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;
Product of original dimensions = 224 square inches
1/4 of the product of original dimensions = 1/4 x 224 square inches
= 56 square inches
The surface area of the similar prism = 56 square inches
Thus, the surface area of the similar prism is 56 square inches
