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Calculate Surface Area of a Square Pyramid
Published on April 27, 2026
Geometry
Learn how to find the amount of foil needed to wrap a pyramid-shaped chocolate by calculating its total surface area, including the base and triangular faces.
Question
do this please
Answer
The problem asks for the amount of foil needed to wrap one piece of chocolate, which means we need to calculate the surface area of the pyramid.
The chocolate is pyramid-shaped with a square base.
The side length of the square base is
The vertical height of the pyramid is
The slant height of the pyramid is
The side length of the square base is
The vertical height of the pyramid is
The slant height of the pyramid is
The surface area of a pyramid consists of the area of the base and the areas of the triangular faces.
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Area of the square base:
The area of a square with side lengthis given by .
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Area of the triangular faces:
A square pyramid has 4 triangular faces. The area of each triangular face is given by.
The base of each triangle is the side length of the square base,cm.
The slant height is given ascm.
So, the area of one triangular face is.
. Since there are 4 triangular faces, the total lateral surface area is.
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Total surface area:
The total surface area of the pyramid is the sum of the base area and the lateral surface area.
.
.
The question asks to round the answer to two decimal places.
The vertical height (
The final answer is