What is the formula to calculate the volume of a 1/4 in thick equilateral triangle hamburger?

you need at least 2 measurement or 2 angles

The area of a triangle is 1/2 times base times height. A sketch of the triangle in the coordinate plane will determine how easy or hard this will be to be. From the sketch, you will see that this is a right-angled triangle with B being the right-angle. This makes it easier because we can easily determine the base and the height to use in the formula.

We can chose AB or BC to be the base, while the other will be the height. If we choose the base of AB, its length is 4, the 6 - 2. The height is 9-(-4) or 13.

We can now put the length and height into the formula to calculate the area of the triangle.

Good luck.

Paul

I assume the length of a side is 16 in, and the height of the prism is 23 inches.
Volume of a prism is V_prism=(Area of base)*(height of prism)
Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by 8*SQRT(3).
Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.
Area of base =6*16*(8*SQRT(3))/2 sq in
Volume =6*8*8*23*SQRT(3) cubic inches
Calculate the value in cubic inches and convert to gallons: I leave that task to you.

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You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of (1/2)*SQRT(203) or about 7.1239 cm



You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found), the measure of the second leg is (1/3) the altitude of the equilateral triangle that forms the base. You should find (1/3) m MH= (1/3)* (11/2)*SQRT(3)


1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).
2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).
3. Total area = area of base + lateral area.
4. Volume= (1/3)(Area of base)* (height of pyramid)
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Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles.
So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees.
Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.

Well, just multiply 7.5 by 3. Solution: 22.5

A regular hexagon is made up of six equilateral triangles. This means that the length of any one side of the hexagon is equal to the radius.

Assuming you are specifying Area = sqrt(243/4) = 7.79422 Then the sides of the equilateral triangle are: 4.24264
Source: http://www.calculatorsoup.com/calculators/geometry-plane/triangles-equilateral.php
Best, Hunter

Let ABC be the equilateral triangle,
and PC be the line joining the mid point of A and C.
We know that equilateral triangle has equal angles which means

Now,
in triangle AHC
Sin(THETA) = AH/AC

That is...
Sin(60) = (7root3)/AC

or AC = (7root3)/Sin(60)

AC=14

Perimeter of equilateral triangle ABC = 3 x Side
= 3 x 14
= 42

Hello,

1. This lot does not have the form or a regular quadrilateral (rectangle, square, parallelogram, etc.)
   
2. So you cannot calculate its area, you have to know exactly the shape it has.
3. With polygons, one usually cuts them into triangles.
   
4. You have to cut it into two triangles,
   
5. measure the base and the height of each triangle,
   
6. use the area formula for the triangle ( area = heightX base/2)
   
7. After you calculate the areas of both triangles, you add them to get the area of the the whole lot in ft^2.
   
8. Using the conversion formula between acres and ft^2 which is 1 acre=43560 ft^2, you divide the area of the lot in square feet by the number 43560 ft^2 and express the result as a percentage or a fraction .

Hope it helps.
Thanks for using FixYa.