The Great Pyramid is a square pyramid with a base area of 571,536 ft2 and a height of 48 stories. Each story is approximately 10 feet. Estimate the volume in cubic yards.
1 answer:
To estimate the volume, you will use the formula for finding volume of a pyramid. You will need to convert the height, given in feet, to yards. (48 x 10)/3= 160 yards You also need to convert the area of the base to square yards. 571536 ft.²/ 9 ft.² (1 square yd)= 63,504 yd.². V = 1/3 BH, where B is the area of the base. V = 1/3 x 63504 x 160 V = 3,386880 cubic yards The approximate volume of The Great Pyramid is 3,386,880 yd.³.
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V = 1/3Bh B = 1/2(b1 + b2)t V = 1/3[1/2(b1 + b2)t] * h h = 24 b1 = 13 b2 = 29 t = ? V = 2856 Substitute: 2856 = 1/3[1/2(13 + 29)t](24) 2856 = 1/6(42)(24)t 2856 = 7(24)t 2856 = 168t t = 2856/168 = 17 in height of the trapeziod