what is the surface area of a square prism with sides that measure 8 units? 254 units² 300 units² 314 units²…

what is the surface area of a square prism with sides that measure 8 units? 254 units² 300 units² 314 units² 384 units²

what is the surface area of a square prism with sides that measure 8 units? 254 units² 300 units² 314 units² 384 units²

Answer

Explanation:

Step1: Recall surface - area formula for square prism

A square prism has 2 square bases and 4 rectangular lateral faces. The side length of the square base and the height of the rectangular face is (s = 8) units. The formula for the surface area (SA) of a square prism is (SA=2s^{2}+4s\times s) (since the height of the lateral - face is equal to the side of the square base in a square prism), which simplifies to (SA = 6s^{2}).

Step2: Substitute (s = 8) into the formula

Substitute (s = 8) into (SA = 6s^{2}). We get (SA=6\times8^{2}). First, calculate (8^{2}=64). Then, (6\times64 = 384).

Answer:

384 units²