A regular Octagonal prism has an apothem of 10cm and a three dimensional height of 24cm, find the surface area to the nearest tenth. How would you do this problem? What is the formula or the answer?

The surface area is 2,886 cm^2

Step-by-step explanation:

In this question we are asked to calculate the surface area of a rectangular octagonal prism.

The correct mathematical formula to use is as follows;

Mathematically, the surface area is

A = 8ah + 4 (1+√2) •a^2

From the question, we identify the value of a as 10cm and the value of h as 24cm

We plug these two values into the equation above to yield the following;

A = 8 (10) (24) + 4 (1 + √2) * 10^2

A = 1,920 + 400 (2.4142)

A = 1920 + 965.685

A = 2,885.69 or approximately 2,886 cm^2