A solid granite monument is the shape of a regular pyramid. The base area is 60 square feet, and the height is 10 feet 3inches. Find the weight of the monument. Granite weighs 168 pounds per cubic foot.
2006-12-05 05:57:24 · 5 answers · asked by Levi M 1 in Science & Mathematics ➔ Engineering
34440 pounds. The formula is V = 1/3 * b * h, where b is the base area, not a side of the base. (Think dimensions: volume = area * height, or L^3 = L^2 * L.)
2006-12-05 06:14:43 · answer #1 · answered by kirchwey 7 · 0⤊ 0⤋
It does not matter in this case weather the base is square or rectangular. We know that some combination of length and width equal 60 sq ft. Assuming a square base makes the calculation easier. Just find the square root of 60 which is 7.75. This becomes the "base". Formula for pyramid is 1/3 base x height. 7.75 X 10.25 X .3333333 =26.5 cubic feet or 4446 pounds
2006-12-05 20:51:09 · answer #2 · answered by questionable reality 3 · 0⤊ 0⤋
1 inch = 0.08333 Feet
so 10 feet 3 inches = 10.24999 feet = H = height
B= base = 60 square feet
Volume = V= B*H = 60*10.24999 = 614.9994 cubic foot.
Weight= 168 * 614.9994 = 103319.8992 Pounds
so Weight= 103319.8992 pounds
2006-12-05 19:18:53 · answer #3 · answered by Snake_Eyes 1 · 0⤊ 0⤋
V = 1/3 * b * h
V = 1/3 * sqrt (60) * 10.25 (base is a square b^2 = 60)
V = 26.47 sqft
W = 26.6 sqft * 168 lb/sqft
W = 4446.2 lb
2006-12-05 14:07:58 · answer #4 · answered by MustangGT 2 · 0⤊ 0⤋
2066400 pounds
2006-12-05 14:03:46 · answer #5 · answered by Paulo M G C 6 · 0⤊ 0⤋