Best Answer

Let the base of the triangle be x:-

If: 0.5*4*x*6.75 = 81

Then: x = (81*2)/(4*6.75) = 6

Using Pythagoras' the 2 hypotenuse's of the isosceles triangle are 5 cm which are in fact 2 joined right angle triangles

Surface area: 2(0.5*6*4)+ 2(5*6.75)+(6*6.75) = 348 square cm

Q: What is the surface area of an isosceles triangular prism that has a length of 6.75 cm and a height of 4 cm with a volume of 81 cubic cm?

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Assume that a = apothem length of the triangular prism, b = base length of the triangular prism, and h = height of the triangular prism. The formulas to find the surface area is SA = ab + 3bh.

The answer depends on what sort of triangle: right angled, equilateral, isosceles or scalene.

Pyramids are not isosceles triangles but their triangular faces can form the image of an isosceles triangle if they have two sides of equal lengths and a base of a different length.

Triangular Prism: (Breadth x Height) + (3 x Length x Breadth) By Austin from a Christian school in Belrose

A triangular prism has 5 sides. Three are rectangles and two are triangles. If you fold the net out flat you can get the dimensions and find the surface area. Each rectangle is length by width. And the triangles should be congruent and remember are length times height divided by two.

Related questions

Assume that a = apothem length of the triangular prism, b = base length of the triangular prism, and h = height of the triangular prism. The formulas to find the surface area is SA = ab + 3bh.

Triangular Prism: (Breadth x Height) + (3 x Length x Breadth) By Austin from a Christian school in Belrose, NSW

The answer depends on what sort of triangle: right angled, equilateral, isosceles or scalene.

Pyramids are not isosceles triangles but their triangular faces can form the image of an isosceles triangle if they have two sides of equal lengths and a base of a different length.

base*height*length*.5

There is not enough information to give an answer.

One half base times height (of the triangular section) times length.

Triangular Prism: (Breadth x Height) + (3 x Length x Breadth) By Austin from a Christian school in Belrose

Triangular Prism: (Breadth x Height) + (3 x Length x Breadth) By Austin from a Christian school in Belrose

A triangular prism has 5 sides. Three are rectangles and two are triangles. If you fold the net out flat you can get the dimensions and find the surface area. Each rectangle is length by width. And the triangles should be congruent and remember are length times height divided by two.

The height of a triangular based pyramid is given by h=2V/(bxl). V is its volume, b its base and l its length.

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