Question

What is the surface area the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has height of 5.2 centimeters. Write answer rounded to one decimal point and with the correct unit

Answer 1

The surface area of the pyramid formed from the given net is 10.4 square centimeters.

Step-by-step explanation:

The net shown in the question forms a pyramid with equilateral triangles as its faces. To find the surface area of the pyramid, we need to calculate the area of each triangle and then sum them up.

The formula for the area of a triangle is 1/2 × base × height. In this case, the base of each triangle is the length of one side of the equilateral triangle, and the height is given as 5.2 centimeters.

So, the area of one triangle would be 1/2 × side × 5.2, and since there are four triangles in the net, we multiply this by 4 to get the total surface area of the pyramid.

Using the formula, we can calculate the surface area as follows:

Surface Area = 4 × (1/2 × side × 5.2)

= 4 × (1/2 × 5.2 × side)

= 10.4 × side

Rounded to one decimal point, the surface area of the pyramid formed from the given net is 10.4 square centimeters.

Answer 2

Mathematics is the subject of this question, which involves calculating the surface area of a pyramid formed from equilateral triangles of known height by applying the area formula for triangles.

Step-by-step explanation:

The subject of this question is Mathematics, specifically concerning the calculation of the surface area of a pyramid using the properties of equilateral triangles. The area of a triangle is given by the formula Area = 1/2 × base × height. To answer the student's question, one must recognize that this pyramid consists of equilateral triangles and apply the formula to each triangle using the provided dimensions, then sum the areas of all triangles to find the total surface area of the pyramid.

To calculate the area of one of the equilateral triangles with a height of 5.2 centimeters, let's assume the length of the base is also known (since it's not provided in the question; it might be determined by the length of the height in case of equilateral triangles or it could be provided elsewhere in the student's materials). The area for each triangle would then be calculated as Area = 1/2 × base × 5.2 cm. This calculation would be repeated for each of the triangle sides of the pyramid and all the areas added together to get the total surface area.