Area of base 18m2 Area of each side 12m2 Total area 54m2
47.88 cm2
It is the perimeter of a triangle times the length of the prism (in square units).
Assuming the cross-section is an equilateral triangle with sides of 'a' and the length is 'b' the surface area will be 3ab + SQRT(3).a2
Using Pythagoras' theorem the height of the equilateral triangle works out as about 7 cm and so with the given dimensions it would appear to be quite difficult to work out the lateral area.
A triangle is a two dimensional object. A Prism is a thee dimensional object. The base of a Prism is a Triangle, but it also has height.
Type your answer hereThe surface area of a prism is square root of 3* a 2 /4 + 3*a*h where a is edge of equilateral triangle and h is height of prism
47.88 cm2
To calculate the surface area of the equilateral triangular-based prism, you need to calculate the area of the equilateral triangle and all the other sides of the prism. The total area of all the phases will give the total surface are of an equilateral triangular based prism.
The Surface area of a triangle = 0.5*base*height The volume of a prism = area of its cross-section*length
not necessarily... it can be any triangle.
It is the perimeter of a triangle times the length of the prism (in square units).
Assuming the cross-section is an equilateral triangle with sides of 'a' and the length is 'b' the surface area will be 3ab + SQRT(3).a2
Using Pythagoras' theorem the height of the equilateral triangle works out as about 7 cm and so with the given dimensions it would appear to be quite difficult to work out the lateral area.
When you say surface of a prism this means the total amount of space on the outside of the prism. You have specified it to be a triangular prism, but taking the surface area of all prisms is the same process for all prisms. When finding the surface area of a prism you always use this equation... S.A. = (2 x Area of Prism Base) + (Height x Perimeter of Prism Base) In a triangular prism the base would be a triangle. Therefore to find the area you have to do 0.5 x base of the triangle x height of the triangle. For the perimeter of the triangle just add the length of all the sides together. The height indicated in your S.A. = ... formula... is how tall the prism actually stands. So since this prism is a triangular prism take the general surface area equation and put the correct triangular measurements into the general equation and you have this... S.A. = [2 x 0.5 x (height) x (base)] + [Height x perimeter] Here is the formula in word form. The surface area of a triangular prism is equal to two multiplied by one half multiplied by the height of the traingular height multiplied by the triangular base compute this number and then add it to the product of the height of the prism times the perimeter of the triangular base.
The Formula is Base*Height, or 1/2 Height (altitude of the triangle) * Base (of the Triangle) * height (Height of the prism)
The height of the base is part of the triangle and the height of the prism is the height of the rectangle
To find the surface area of an equilateral triangular prism you take the area of the rectangular sides and the triangular bases and add them up and your done.