Question

What is the surface area of the regular pyramid below?

Answer 1

Answer: B. 864 units²

Step-by-step explanation:

        First, we will find the area of the bottom base square.

    L * W = A

    16 units * 16 units = 256 units²

        Next, we will find the areas of the triangles. Since there are four congruent triangles, we will find the area of one and multiply it by 4.

    $\frac{\text{B}\;*\;\text{H}}{2}$ = A

    $\frac{\text{16 units}\;*\;\text{19 units}}{2}$ = A

    $\frac{\text{304 units}^2}{2}$ = A

    152 units² = A

         -

    152 units² * 4 = 608 units²

        Lastly, we will add the two values together to answer this question.

    608 units² + 256 units² = 864 units²

                       864 units²