Grades 5-6 Video Solutions 2024-2024_5-6

Video Transcription

Question 21. There are three identical special dice on the table. What is the sum of the numbers on the faces that touch the table?  First, let's look at the two 8 faces on the first and second dice. Notice how due to the way they are oriented, the blue highlighted faces should be the same face, and therefore  the same number. This means that 13 is on the bottom of the first die. Now, look at the 13 faces on the second and third dice. Once again, due to how they are oriented,  the green highlighted faces should be the same face, and have the same number. This means that 22 is on the bottom of the second die. Now, look at the 22 face on the first  and last die. We can see that due to their orientation, the yellow faces must have the same number, which means the bottom of the third die must have an 8. We can add these  three numbers together to get an answer of 43.

Video Summary

Question 21. There are three identical special dice on the table. What is the sum of the numbers on the faces that touch the table? First, let's look at the two 8 faces on the first and second dice. Notice how due to the way they are oriented, the blue highlighted faces should be the same face, and therefore the same number. This means that 13 is on the bottom of the first die. Now, look at the 13 faces on the second and third dice. Once again, due to how they are oriented, the green highlighted faces should be the same face, and have the same number. This means that 22 is on the bottom of the second die. Now, look at the 22 face on the first and last die. We can see that due to their orientation, the yellow faces must have the same number, which means the bottom of the third die must have an 8. We can add these three numbers together to get an answer of 43.

Keywords

special dice

sum of numbers

dice orientation

face numbers

table