问题描述:
英语翻译
Imagine that each layer of this step pyramid is made from identical,cube-shaped blocks of stone.The bottom layer has seven rows of stones with seven stones in each row.The next laer has five rows of stones with five stones in each row.The third layer has three rows of stones with three stones in each row.And the top layer is a single stone.
1)Some of the stones are completely hidden in this arrangement,so they are not exposed to rain,wind,and the other elements.
a.How many stones are exposed?
b.How can you explain your rsult without counting the stones layer by layer?
2)Each stone is shaped like a cube,so each has six faces,although not all the faces of each stone are exposed.If there were a big rainstorm and all the exposed faces got wet,how many stones would have one wet face?Two wet faces?Tree wet faces?Four wet faces?Five wet faces?Six wet faces?
3)Now imagine a larger version of this structure,in which the bottom layer has 25 rows of stones with 25 stones in each row.The next layer,centered on the first,has 23 rows of stones with 23 stones in each row.The next layer has 21 rows of stones with 21 stones in each row,and so on.
a.How many layers does this structure have?
b.How many exposed stones does this structure have?
c.How many stones in this structure have one exposed face?Two exposed faces?Three exposed faces?Four exposed faces?Five exposed faces?Six exposed faces?
4)How can you generalize your results from Questions 1 through
求翻译啊
Imagine that each layer of this step pyramid is made from identical,cube-shaped blocks of stone.The bottom layer has seven rows of stones with seven stones in each row.The next laer has five rows of stones with five stones in each row.The third layer has three rows of stones with three stones in each row.And the top layer is a single stone.
1)Some of the stones are completely hidden in this arrangement,so they are not exposed to rain,wind,and the other elements.
a.How many stones are exposed?
b.How can you explain your rsult without counting the stones layer by layer?
2)Each stone is shaped like a cube,so each has six faces,although not all the faces of each stone are exposed.If there were a big rainstorm and all the exposed faces got wet,how many stones would have one wet face?Two wet faces?Tree wet faces?Four wet faces?Five wet faces?Six wet faces?
3)Now imagine a larger version of this structure,in which the bottom layer has 25 rows of stones with 25 stones in each row.The next layer,centered on the first,has 23 rows of stones with 23 stones in each row.The next layer has 21 rows of stones with 21 stones in each row,and so on.
a.How many layers does this structure have?
b.How many exposed stones does this structure have?
c.How many stones in this structure have one exposed face?Two exposed faces?Three exposed faces?Four exposed faces?Five exposed faces?Six exposed faces?
4)How can you generalize your results from Questions 1 through
求翻译啊
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