Question

A storage container is in the shape of an open square based pyramid. The length of the side of the

base is 3m and the vertical height of the pyramid is 2m. The container is to be coated inside and
outside.
Your task is sketch the pyramid with relevant measurements and then to find the total surface
area to be coated.
What is the Total Surface area?

Answer 1

The total surface area of the storage container is 21m².

Step-by-step explanation:

To find the total surface area of the storage container, we need to calculate the area of each face and then add them together.

The base of the pyramid is a square with a side length of 3m, so the area of the base is 3m * 3m = 9m². There are four triangular faces of the pyramid, and each face is an isosceles triangle with a base equal to the side length of the square base and a height of 2m.

The area of each triangular face can be calculated using the formula A = 1/2 * base * height, so the area of each triangular face is 1/2 * 3m * 2m = 3m².

Adding up the areas of all the faces, we get a total surface area of 9m² + 4 * 3m² = 9m² + 12m² = 21m².