Question

In shop class, Adriana makes a pyramid with a 4-inch square base and a height of 6 inches. She then cuts the pyramid vertically in half as shown. What is the area of each cut surface?

Answer 1

The area of the square pyramid is the amount of space on it

The total surface area of each cut surface is 33.28 square inches

How to determine the surface area of each cut surface?

The given parameters are:

Base (b) = 4 cm

Height (h) = 6 cm

Start by calculating the slant height (l) using:

l = √((4/2)^2 + 6^2)

l = 6.32

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 4 * 6.32

Evaluate the product

L = 50.56

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 50.56 + 4^2

Evaluate

T = 66.56

Divide the total surface area by 2

T/2 = 33.28

Hence, the total surface area of each cut surface is 33.28 square inches

Read more about areas at:

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