Final answer:
To find the amount of cardboard needed for the triangular prism-shaped tissue box, calculate the surface area using the given dimensions.
Step-by-step explanation:
To find the amount of cardboard needed for the triangular prism-shaped tissue box, we need to calculate the surface area of the box.
A triangular prism has two congruent triangular bases and three rectangular lateral faces. The formula for the surface area of a triangular prism is:
Surface Area = 2 * (Area of triangular base) + (Perimeter of triangular base) * (Height)
Given the dimensions of the tissue box, we can calculate the surface area:
Area of triangular base = (1/2) * 1.80 * 2.05
Perimeter of triangular base = 3 * 2.05
Surface Area = 2 * (1/2 * 1.80 * 2.05) + 3 * 2.05 * 3.1
Calculating the surface area, we find that it is approximately 320 cm².