To find the surface area of the solid figure with an equilateral triangle base, we first need to find the area of the equilateral triangle base.
Given that the length of each side of the equilateral triangle is 4.5 cm, we can use the formula for the area of an equilateral triangle:
Area = (√3/4) * side length^2
Area = (√3/4) * 4.5^2
Area = (√3/4) * 20.25
Area = (1.732/4) * 20.25
Area = 0.433 * 20.25
Area = 8.77 cm^2
Now, to find the surface area of the solid figure, we need to add the areas of the three triangular faces together:
Surface area = 3 * Area of triangle
Surface area = 3 * 8.77
Surface area = 26.31 cm^2
Therefore, the surface area of the solid figure with an equilateral triangle base is 26.31 cm^2.
Find the surface area of the solid figure with an equilateral triangle base. (1 point) cm2
Numbers:
3.5 cm
3.9 cm
4.5 cm
5 answers
w r o n g
My apologies for the mistake. Let's correct that.
To find the surface area of a solid figure with an equilateral triangle base, we need to calculate the area of the equilateral triangle base and then add the areas of the three triangular faces.
Given that the equilateral triangle has a side length of 3.5 cm, we first calculate the area of the base triangle:
Area of equilateral triangle = (√3/4) * side length^2
Area of equilateral triangle = (√3/4) * 3.5^2
Area of equilateral triangle = (√3/4) * 12.25
Area of equilateral triangle = 2.3875 cm^2
Now, since there are three identical triangular faces, the total surface area is calculated as follows:
Total surface area = 3 * (area of equilateral triangle)
Total surface area = 3 * 2.3875
Total surface area = 7.1625 cm^2
Therefore, the surface area of the solid figure with an equilateral triangle base is 7.1625 cm^2.
To find the surface area of a solid figure with an equilateral triangle base, we need to calculate the area of the equilateral triangle base and then add the areas of the three triangular faces.
Given that the equilateral triangle has a side length of 3.5 cm, we first calculate the area of the base triangle:
Area of equilateral triangle = (√3/4) * side length^2
Area of equilateral triangle = (√3/4) * 3.5^2
Area of equilateral triangle = (√3/4) * 12.25
Area of equilateral triangle = 2.3875 cm^2
Now, since there are three identical triangular faces, the total surface area is calculated as follows:
Total surface area = 3 * (area of equilateral triangle)
Total surface area = 3 * 2.3875
Total surface area = 7.1625 cm^2
Therefore, the surface area of the solid figure with an equilateral triangle base is 7.1625 cm^2.
w r o n g pls
I apologize for the errors. Let's try again.
Given that the equilateral triangle has a side length of 3.9 cm, we first calculate the area of the equilateral triangle base:
Area of an equilateral triangle = (√3/4) * side length^2
Area of an equilateral triangle = (√3/4) * 3.9^2
Area of an equilateral triangle ≈ 6.708 cm^2
The equilateral triangle serves as the base of a pyramid, and the surface area of the pyramid is the sum of the base area and the three triangle face areas.
Given that a pyramid has 4 faces (1 base and 3 triangular faces), we calculate the total surface area:
Total surface area = base area + 3* (area of triangular face)
Total surface area = 6.708 + 3 * (6.708/2) (the area of each triangular face is half of the base area)
Total surface area = 6.708 + 3 * 3.354
Total surface area = 6.708 + 10.062
Total surface area = 16.77 cm^2
Therefore, the surface area of the solid figure with an equilateral triangle base is 16.77 cm^2.
Given that the equilateral triangle has a side length of 3.9 cm, we first calculate the area of the equilateral triangle base:
Area of an equilateral triangle = (√3/4) * side length^2
Area of an equilateral triangle = (√3/4) * 3.9^2
Area of an equilateral triangle ≈ 6.708 cm^2
The equilateral triangle serves as the base of a pyramid, and the surface area of the pyramid is the sum of the base area and the three triangle face areas.
Given that a pyramid has 4 faces (1 base and 3 triangular faces), we calculate the total surface area:
Total surface area = base area + 3* (area of triangular face)
Total surface area = 6.708 + 3 * (6.708/2) (the area of each triangular face is half of the base area)
Total surface area = 6.708 + 3 * 3.354
Total surface area = 6.708 + 10.062
Total surface area = 16.77 cm^2
Therefore, the surface area of the solid figure with an equilateral triangle base is 16.77 cm^2.
1 answer