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Grade 11 Volume CCSS: HSG-GMD.A.3, HSG-MG.A.2
A commemorative obelisk is going to be made of marble. The shape of this obelisk is a very narrow, truncated square pyramid, with a much less narrow square pyramid at the top. The width of the obelisk's base will be 2.5 m, and its total height will be 23 m. The width near the top of the obelisk (both the top of the truncated pyramid and the base of the smaller square pyramid) will be 2 m. The height of the smaller square pyramid is 3 m. What will be the mass of the obelisk, rounded to the nearest kilogram, if the density of marble is about 2,711 kg/m3? Hint: the volume of a truncated square pyramid, whose base width is a, whose top width is b, and whose height is h is given by V=13(a2+ab+b2)h.
- 281,040 kg
- 286,463 kg
- 292,562 kg
- 327,805 kg