题库搜索>数据充分DS-18264
If all of the six faces of a concrete block are rectangular, what is the volume of the block?
(1) Each of the four lateral faces of the block has an area of 200 square inches.
(2) The top of the block is square and has an area of 400 square inches.
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
这道题二刷,用时2分57秒,不应该啊。反思回顾一下:
问:这个长方体的体积是多少?
分析:长方体的体积等于长L*宽W*高H,其实只要知道 三边边长的具体值 或者 只要三边的乘积是多少 就可以了
条件一:长方体的四个侧面的面积是200,那么就是说L*H=H*W=200,可以得L=W,但H具体数值未知,也无法求出L和W,也无法求出体积,不充分。
条件二:上下底面的面积都是为400,也就是说L*W=400,但H未知,无法求出体积,不充分。
结合条件一和条件二:
L=W①
L*W=400②
L*H=H*W=200③
①式代入②式,可以得出L=W=20④
④式和③式一起:V=L*W*H=20*200=4000(其实这步可以不用算出来的,只要知道L=W=20的话,那么代入V=L*W*H肯定能求出来),充分。
ElisaGo
lateral face----侧面积
gmat1234
第二个为什么是对的,top面是正方形怎么确定高的呀?
贾思敏回复gmat1234
没说第二个是对的,两个都不充分,无法求出长方体的总面积,只有两个条件加起来:四个侧面都是200,上下底面是400的正方形,然后总面积就是200*4+400*2=1600,所以充分
0
0
回复
2021-09-10 16:56:15
贾思敏回复gmat1234
哦 抱歉,求的是总体积,那也行啊,知道相邻的3个面的面积分别是400、200、200,设rectangular的长、宽、高分别是a、a、b,ab=200,a的平方=400,那长宽高都能求出来了,总体积肯定能求出来
0
0
回复
2021-09-10 16:59:26
全智贤
题干说六个面都是长方形,然后条件说是正方形???怎么,考的是正方形是特殊的长方形这个知识点吗
贾思敏回复全智贤
条件2是说top面是正方形而已,有些长方形上下底面都可以是正方形,只要高比上下底面的边长短或者长一丢丢就是长方体rectangular啦
0
0
回复
2021-09-10 16:53:53
Augusta
这个不应该是正方形吗
chicaicai
任意四个侧面,不是任意四个面
鸡鸡沙西米
four lateral faces 指的是边上的四个面
科目:
数据充分DS
来源:
OG21新题
1m34s
平均耗时
81.2%
平均正确率
该题由网友VxbwBt5提供
点击上传数据充分DS -18358
Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010 ?(1)The population of Town C in 2000 was 2/3 of the population in 2005.(2)The population of Town C increase by a greater number of people from 2005 to 2010 than it did from 2000 to 2005
数据充分DS -18269
At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what...
数据充分DS -18267
What is the volume of the right circular cylinder X ?(1) The height of X is 20.(2) The base of X has area 25π.
数据充分DS -18265
What is the value of z in the figure above?(1) x = 50(2) y = 35
数据充分DS -18264
If all of the six faces of a concrete block are rectangular, what is the volume of the block?(1) Each of the four lateral faces of the block has an area of 200 square inches.(2) The top of the block is square and has an area of 400 square inches.
数据充分DS -18358
Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010 ?(1)The population of Town C in 2000 was 2/3 of the population in 2005.(2)The population of Town C increase by a greater number of people from 2005 to 2010 than it did from 2000 to 2005
数据充分DS -18269
At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what...
数据充分DS -18267
What is the volume of the right circular cylinder X ?(1) The height of X is 20.(2) The base of X has area 25π.
数据充分DS -18265
What is the value of z in the figure above?(1) x = 50(2) y = 35
数据充分DS -18264
If all of the six faces of a concrete block are rectangular, what is the volume of the block?(1) Each of the four lateral faces of the block has an area of 200 square inches.(2) The top of the block is square and has an area of 400 square inches.