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

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
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
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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
想象一下,每层这阶梯金字塔是由相同 的,立方形的石块.底层有七排每排有七 石石.第二层有五排每排有五石石.第三 层有三排每排有三石石.和上面一层是一 个单一的石头. 1）一些石头完全隐藏在这样的安排,使他 们不会受到雨,风,和其他元素. 有多少石头暴露? B.你怎么解释你的结果没有被计数的石头 层? 2）的每一块石头的形状像一个立方体,每 个有六个面,虽然不是所有的每一块石头 的脸暴露.如果有一个大暴雨和所有裸露 的脸湿了,有多少石头都会有一个湿的 脸?两个湿的脸?树湿的脸?四湿的脸? 五湿的脸?六湿的脸? 3）现在想象一个更大的版本的这种结构, 在底层有25排每排有25石石.第二层,集 中在第一,23排用23块石头在每一行的石 头.第二层有21排,每排有21的石头,石 头,等等. 这种结构有多少层呢? 这种结构已经有多少裸露的石头吗? C.多少石头在这个结构中有一个接触面? 两个接触面?三裸露的脸?四裸露的脸? 五裸露的脸?六裸露的脸? 4）你如何推广你的结果从1到3的问题?\7
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