ATP dog bed is in the shape of a triangular Pyramid. How much fabric is needed to make the TP given the following dimensions, the slight height of the equilateral triangle faces is 25 inches, the height of the base triangle is 26 inches. The base of the equal lateral triangle is thirty inches
To calculate the amount of fabric needed to make the TP dog bed, we first need to find the area of each triangular face and then add them together.
The area of an equilateral triangle is given by the formula: A = √3/4 * s^2, where s is the length of a side.
For the equilateral triangle faces:
A = √3/4 * 30^2 = √3/4 * 900 = 3√3 * 225 = 675√3 square inches
Now, we need to find the area of the triangular face that forms the base of the TP dog bed.
The area of a triangle is given by the formula A = 1/2 * base * height.
For the base triangle:
A = 1/2 * 30 * 26 = 15 * 26 = 390 square inches
Now, we can add the areas of all three triangular faces to get the total fabric needed:
675√3 + 675√3 + 390 = 1350√3 + 390 square inches
Therefore, the total fabric needed to make the TP dog bed is 1350√3 + 390 square inches.