To calculate the total surface area of a rectangular prism, you need to find the sum of the areas of all six faces. The formula for the total surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Measure the length, width, and height of the rectangular prism, plug the values into the formula, and perform the necessary calculations to find the total surface area.
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total surface area is sum of parts of prism
we have three squares and two triangles
one of squares is bigger than others
for each one of small squares : S = a2
and we know there is two of them
for bigger square : S = 21/2 * a2
for each triangle : S = a2/2
and we remember there is two of them
Now ; Stotal = a2 + a2 + ( 21/2 * a2) + a2/2 + a2/2
Stotal = 4.4a2
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.
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If the bases have sides of length a, b and c units and the length of the prism is d units thenlateral area = (a+b+c)*darea of base = sqrt{s*(s-a)*(s-b*(s-c)} where s = (a+b+c)/2Then total surface area = lateral area + 2*area of base.
A pentagonal prism has 5 faces, with each face having 5 vertices. Each vertex connects two adjacent faces, forming a total of 10 right angles around each vertex. Therefore, a pentagonal prism has a total of 50 right angles.
Ah, an equilateral triangular prism is a beautiful shape, isn't it? To find its surface area, you just need to add the areas of all its faces together. The formula is 3 times the base area (which is the area of one of the equilateral triangles) plus the lateral area (which is the perimeter of the base times the height). Just remember, there are no mistakes in math, only happy little accidents.