Any three vertices of the cube PQRSTUVWPQRSTUVW, shown in the figure below, can be connected to form a triangle. (For example, vertices PP, QQ, and RR can be connected to form isosceles △PQR\triangle PQR.) How many of these triangles are equilateral and contain PP as a vertex?
A. 0
B. 1
C. 2
D. 3
E. 6

Systematic enumeration中文
Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

Answer

D. 3

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1There are 81 grid points ( uniformly spaced ) in the square shown in the diagram below, including the points on the edge…
  2. 2When three positive integers aa, bb, and cc are multiplied together, their product is 100. Suppose a<b<ca < b < c. In ho…
  3. 3三年级（2）班有56名学生，这个月进行了两次数学测试：第一次得100分的学生的学号是6，9，15，16，27，33，56；第二次得100分的学生的学号是：7，9，16，27，36，40，48，51，53。 1．第一次得100分的有( )人。…
  4. 4Alina writes the numbers 1,2,…,91, 2, \dots, 9 on separate cards, one number per card. She wishes to divide the cards into 33…
  5. 5Buzz Bunny is hopping up and down a set of stairs, one step at a time. In how many ways can Buzz start on the ground, ma…