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Perimeter = area + b1 + b2 + c

P = a + b1 + b2 + c

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Q: What is the formula for finding surface area of a trapezoidal prism?
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Formula for perimeter of a hexagonal prism?

A hexagonal prism is a polyhedron with two parallel bases bounded by congruent hexagons and with lateral faces bounded by parallelograms that connect corresponding sides of the bases. The height h of the prism is any perpendicular segment drawn from a point on the base to the plane containing the other base. If the segments that join corresponding vertices of the bases are perpendicular to the bases, then the prism is a right hexagonal prism. Otherwise, it is called oblique. The perimeter formula of a right regular hexagonal prism is P = 12s + 6h where s = side and h = height


What shape have 5 faces and 5 corners?

A pentagonal prism * * * * * No. A pentagonal prism has 7 faces and 10 vertices! A rectangular pyramid has 5 faces and 5 vertices.


Volume of a truncated rectangular based pyramid?

(1)Best formula to use is as follows -V = h/3(Areatop + √(Areatop*Areabottom) + Areabottom)(2)To find (h) using a tape measure -Areatop => bdAreabase => acLateral edge remaining => e (from top corner to base corner)k = 1 - √(bd/ac)H= √([e/k]² - [a/2]² - [c/2]²)h = HkV = H/3*(ac-bd+bd*k)(3)Lets say Top is a rectangle with sides b & dand bottom is a rectangle with sides a & c respectively.Let height be hin that case the volume of Truncated Pyramid with rectangular base will be -V = 1/3((a²c-b²d)/(a-b))hBUT BE CAREFUL - a,b,c,d are not all independent variables (one depends on the others) so this answer is misleading!!!Proof -Suppose the height of Full Pyramid is HFrom parallel line property(H-h)/H = b/aRearrangingH = ah/(a-b) --------------------(1)AlsoSince V=1/3 Base area X HeightVolume of full pyramid = 1/3 X ac X HVolume of removed Pyramid = 1/3 X bd X (H-h)So volume of truncated part V = 1/3(acH-bd(H-h))=1/3((ac-bd)H + bdh)From (1)V = 1/3((ac-bd)ah/(a-b) + bdh)reducing and rearranging we getV = 1/3((a²c-b²d)/(a-b))h(4)In case the truncated solid forms a prism instead, we have following formula -V = ( h/6)(ad + bc + 2ac + 2bd)Proof -Fig(1)Fig(2)Lets divide the fig(1) into four different shapes as shown in fig(2)VA = Volume of cuboid = bdhVB = Volume of prism after joining both Bs= ½ X base X height X width = ½ (a-b) (d)(h)VC = Volume of prism after joining both Cs = ½ X base X height X width = ½ (c-d) (b)(h)VD = Volume of rectangular pyramid after joining all Ds = 1/3 X base area X height =1/3 (a-b) (c-d) hThen V = VA + VB + VC + VDOr, V = bdh + 1/2(a-b)dh +1/2(c-d)bh + 1/3(a-b)(c-d)hArranging and simplifying we get -V = ( h/6)(ad + bc + 2ac + 2bd)


Related questions

What is the c in the formula for finding surface area of trapezoidal prism?

You must be thinking of a triangular prism. In that case, c is the length of the third side of the triangle at the end of the prism.


What is the formula for finding the volume of a trapezoidal prism?

area of base x height area of base x height


What is the surface area of a trapezoidal prism?

I dont know:d


Why does the formula for finding the surface area of a rectangular prism is helpful?

There must be a typo in this question, "Why does the formula for finding the surface area of arectangular prism is helpful?" What does that even mean?


Why is the formula for finding the surface area of a rectangular prism helpful?

its not i dont no why


Formula for finding volume of a trapezoidal prism?

Volume = 1/2*(a+b)*h*l where a and b are the lengths of the parallel sides of the trapezium, h is the height of the trapezium, and l is the length of the prism.


What is the formula to find volume of trapezoidal shape?

If you mean volume of a trapezoidal prism then it is: 0.5*(sum of parallel sides)*height*length


Why is finding the formula of a surface area helpful to a rectangular prism?

I am not sure that a rectangular prism is in any position to care!


How do you find the surface area of trapezoidal prism?

Surface Area = 2 × Base Area + Base Perimeter × Length


Formula for volume of a trapezoidal prism?

the volume of a trapezoidal prism is equal to the height times the base area of the trapezoid. First you find the area of trapezoid h(a+b)/2 h is the height of the trapezoid, not the height of the prism a is the length of the top b is the length of the bottom Then you find the volume of the trapezoidal prism with this formula H*h(a+b)/2 H is the height of the prism. Multiply H by the area of the trapezoid that you found in step one.


How many vertices does a trapezoidal prism have?

A trapezoidal prism has 8 vertices:A trapezoid has 4 vertices.A trapezoidal prism is composed of 2 trapezoids. 2 X 4 = 8.


Explain why the formula for finding the surface area of a rectangular prism is helpful?

It is helpful because when you do the problem you know what to do.