Question

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

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