I have a triangle that is 33' X 33' X 33' X 6" deep.
How may cubic yards is this?
Area of an equilateral triangle is
l^2 Sqrt3/4
where l = length of a side.
convert figures to yards
11x11x11x1/6
area is then
11^2 x sqrt3/4 = 52.4 sq yards
volume = 52.4/6 = 8.73 cu yards
Please check my maths and remember to include the untis with your answer.
Another need way to find the area of any triangle is Heron's formula, you can memorize it easy enough, so you can find the area of any triangle knowing the sides.
http://mste.illinois.edu/dildine/heron/triarea.html
To calculate the volume in cubic yards, you need to convert the dimensions to yards and then multiply them together.
Given that the dimensions of the triangle are given in feet and the depth is given in inches, we need to convert them to yards.
1 yard = 3 feet.
1 foot = 12 inches.
First, we convert the dimensions from feet to yards:
33 feet = 33/3 = 11 yards.
Now, we convert the depth from inches to yards:
6 inches = 6/36 = 1/6 yards.
Next, we calculate the volume:
Volume = Length x Width x Depth.
Since it's a triangle, we only need two of the sides as the length and width, so we will use 11 yards for both.
Volume = 11 yards x 11 yards x 1/6 yard = 121/6 cubic yards.
Simplifying further, we get:
Volume = 20 1/6 cubic yards.
Therefore, the triangular shape with dimensions 33' X 33' X 33' X 6" deep is approximately 20 1/6 cubic yards.