Question

The pyramid has a base of five. The height of the base is 4.3 and the slant height is six use the correct formula to find the surface area of the chocolate pyramid.

Answer 1

To find the surface area of a pyramid, we need to calculate the sum of the areas of its base and its lateral faces.

The formula to find the lateral surface area of a pyramid is given by:
Lateral Surface Area = (1/2) * Perimeter of the base * Slant height

First, let's calculate the perimeter of the base of the pyramid. Since the base has five sides and each side has equal length, we can use the formula:
Perimeter of the base = 5 * Length of one side

Given that the height of the base is 4.3, the slant height is 6, and the base has five sides, we can calculate the length of one side of the base using the Pythagorean theorem:
Height^2 + (Length of one side / 2)^2 = Slant height^2

Applying the Pythagorean theorem with the given values, we can find the length of one side:
4.3^2 + (Length of one side / 2)^2 = 6^2
18.49 + (Length of one side / 2)^2 = 36
(Length of one side / 2)^2 = 36 - 18.49
(Length of one side / 2)^2 = 17.51
Length of one side / 2 = √17.51
Length of one side = 2 * √17.51

Now, we can calculate the perimeter of the base:
Perimeter of the base = 5 * Length of one side
Perimeter of the base = 5 * 2 * √17.51

Next, we can use the perimeter of the base and the slant height to determine the lateral surface area:
Lateral Surface Area = (1/2) * Perimeter of the base * Slant height
Lateral Surface Area = (1/2) * 5 * 2 * √17.51 * 6
Lateral Surface Area = 5 * 6 * √17.51

Finally, we can add the area of the base to the lateral surface area to find the total surface area of the pyramid:
Total Surface Area = Lateral Surface Area + Area of the base
Total Surface Area = 5 * 6 * √17.51 + Area of the base

Since we don't have the information about the shape and size of the base, we cannot calculate the exact surface area of the chocolate pyramid.