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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?

1 Answer

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Answer:

The surface area is 2,886 cm^2

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

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