Talk:Cubic mile
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20 combinations of three one-mile solids and comparisons
[edit]| First one-mile solid | Second one-mile solid | Third one-mile solid | Total volume of the combination (given the edge length of one mile for regular solids and the radius of one mile for the sphere) | Total cost of the combination (given US$1 per gal.) | Total atmospheric energy carried by the combination | Number of 3D figures taken with the volume of 900 cubic yards, the total surface area of 600 square yards and the diagonal length of 19 yards | Number of six-yard-wide, ten-yard-tall and 15-yard-long 3D figures taken | Number of six-yard-wide, 15-yard-tall and ten-yard-long 3D figures taken | Number of ten-yard-wide, six-yard-tall and 15-yard-long 3D figures taken | Number of ten-yard-wide, 15-yard-tall and six-yard-long 3D figures taken | Number of 15-yard-wide, six-yard-tall and ten-yard-long 3D figures taken | Number of 15-yard-wide, ten-yard-tall and six-yard-long 3D figures taken | Number of barrels taken |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| One-mile tetrahedron | One-mile cube | One-mile octahedron | 12 + 5√2/12 mi3 | ~US$1.75 trillion | ~6.36 million therms | ~9.63 million | ~55.6 billion | ||||||
| One-mile dodecahedron | 57 + 21√5 + √2/12 mi3 | ~US$9.67 trillion | ~35.2 million therms | ~53.2 million | ~307 billion | ||||||||
| One-mile icosahedron | 27 + 5√5 + √2/12 mi3 | ~US$3.63 trillion | ~13.2 million therms | ~20 million | ~115 billion | ||||||||
| One-mile sphere | 16π + 12 + √2/12 mi3 | ~US$5.84 trillion | ~21.2 million therms | ~32.1 million | ~185 billion | ||||||||
| One-mile octahedron | One-mile dodecahedron | 45 + 21√5 + 5√2/12 mi3 | ~US$9.09 trillion | ~33 million therms | ~50 million | ~288 billion | |||||||
| One-mile icosahedron | 15 + 5√5 + 5√2/12 mi3 | ~US$3.05 trillion | ~11.1 million therms | ~16.8 million | ~96.9 billion | ||||||||
| One-mile sphere | 16π + 5√2/12 mi3 | ~US$5.26 trillion | ~19.1 million therms | ~28.9 million | ~167 billion | ||||||||
| One-mile dodecahedron | One-mile icosahedron | 60 + 26√5 + √2/12 mi3 | ~US$11 trillion | ~39.9 million therms | ~60.3 million | ~348 billion | |||||||
| One-mile sphere | 16π + 45 + 21√5 + √2/12 mi3 | ~US$13.2 trillion | ~47.9 million therms | ~72.5 million | ~418 billion | ||||||||
| One-mile icosahedron | 16π + 15 + 5√5 + √2/12 mi3 | ~US$7.14 trillion | ~26 million therms | ~39.3 million | ~227 billion | ||||||||
| One-mile cube | One-mile octahedron | One-mile dodecahedron | 57 + 21√5 + 4√2/12 mi3 | ~US$10.1 trillion | ~36.6 million therms | ~55.3 million | ~319 billion | ||||||
| One-mile icosahedron | 27 + 5√5 + 4√2/12 mi3 | ~US$4.02 trillion | ~14.6 million therms | ~22.1 million | ~128 billion | ||||||||
| One-mile sphere | 4π + 3 + √2/3 mi3 | ~US$6.23 trillion | ~22.7 million therms | ~34.3 million | ~198 billion | ||||||||
| One-mile dodecahedron | One-mile icosahedron | 36 + 13√5/6 mi3 | ~US$11.9 trillion | ~43.4 million therms | ~65.7 million | ~379 billion | |||||||
| One-mile sphere | 16π + 57 + 21√5/12 mi3 | ~US$14.2 trillion | ~51.5 million therms | ~77.9 million | ~449 billion | ||||||||
| One-mile icosahedron | 16π + 27 + 5√5/12 mi3 | ~US$8.12 trillion | ~29.5 million therms | ~44.6 million | ~258 billion | ||||||||
| One-mile octahedron | One-mile dodecahedron | One-mile icosahedron | 30 + 13√5 + 2√2/6 mi3 | ~US$11.4 trillion | ~41.3 million therms | ~62.5 million | ~361 billion | ||||||
| One-mile sphere | 16π + 45 + 21√5 + 4√2/12 mi3 | ~US$13.6 trillion | ~49.3 million therms | ~74.6 million | ~431 billion | ||||||||
| One-mile icosahedron | 16π + 15 + 5√5 + 4√2/12 mi3 | ~US$7.53 trillion | ~27.4 million therms | ~41.4 million | ~239 billion | ||||||||
| One-mile dodecahedron | 8π + 30 + 13√5/6 mi3 | ~US$15.5 trillion | ~56.2 million therms | ~85 million | ~491 billion | ||||||||
With three one-mile solids selected out of six, such as the one-mile tetrahedron, the one-mile cube, the one-mile octahedron, the one-mile dodecahedron, the one-mile icosahedron and the one-mile sphere, there are 20 combinations. They cost between around US$1.75 trillion and around US$15.5 trillion when the cost per gal. is US$1 per gal., because their volumes range between 12 + 5√2/12 mi3 and 8π + 30 + 13√5/6 mi3. With three one-mile solids selected out of six, combinations carry millions of therms of atmospheric energy and take millions of 3D figures with the volume of 900 cubic yards, the total surface area of 600 square yards and the diagonal length of 19 yards, such as six-yard-wide, ten-yard-tall and 15-yard-long 3D figures, six-yard-wide, 15-yard-tall and ten-yard-long 3D figures, ten-yard-wide, six-yard-tall and 15-yard-long 3D figures, ten-yard-wide, 15-yard-tall and six-yard-long 3D figures, 15-yard-wide, six-yard-tall and ten-yard-long 3D figures and 15-yard-wide, ten-yard-tall and six-yard-long 3D figures, as well as billions of barrels, when the edge length is one mile for the tetrahedron, the cube, the octahedron, the dodecahedron and the icosahedron and the radius is one mile for the sphere.