Analysis
The cubes of odd numbers are ___ and the cubes of even numbers are ____.
Odd, Even
The volume of a cube is 216 cm3. What is the length of each side of the cube?
6 cm
What is a perfect cube?
A number is a perfect cube if every prime factor in its prime factorisation appears in groups of three. For example, 216 (23x53) is a perfect cube.
[x3 + (-x3)] x 73
0
Hard luck!
Just kidding! Your team wins 200 points.
Find the difference between 103 and 93. Is the difference a perfect cube?
271, No
Tell all the cubes of numbers 1-10.
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Which number should 500 be multiplied with, so that we get a perfect cube?
Divide 512 by 2 and add 744. What is the cube root of that number?
You get as many points as you want.
Did you really think that was true? You get 200 points deducted from your team
(2x)6 / (2x)3 =216
x is 3.
What does the cube root of 46578283192 end in?
8
1+3+5+…15. Is this sum a perfect cube? If yes, then what is the cube root of that number?
82 or 64 ; 22 or 4
[∛(∛273)]
3
Your team doesn’t get points, but never mind. This may be even BETTER.
Your team can either remove 150 points off a team OR you can get 1.5x points for the next round.
The volume of two cubes is in the ratio 1:27, what is the ratio of their sides?
1:3
A container contains 500 marbles. How many more marbles need to be added to make the total number a perfect cube?
12, because 83 is 512.
The number 108 can be made a perfect cube by multiplying it by 3. Is it true or false, give reasoning to your answer.
False. To be made into a perfect cube, it needs to be multiplied by 2 not 3.
a = ∛8 ; b = ∛343. Find a2 + b2
53
Cool! Your team wins 150 points.
But all other teams win 200.
x + y = 10
x3 + y3 = 730
Find x and y.
x = 9; y = 1
A cuboid has a volume of 1375 cm3. Into how many equal parts should it be divided to form perfect cubes?
1375 = 53 x 11
Hence, we need to divide 1375 by 11.
Tell why 1729 is a hardy ramunanjan number. (Hint: Give the 2 sum of cubes that result in 1729. For ex- 23 + 33 = 35)
1729 = 123 + 13 ; 1729 = 103 + 93
The volume of two cubes is 216 cm3 each. Both cubes are molten and 80 cm3 is also added to the molten metal. The molten metal is frozen to form a cube. What is the length of the side of the cube?
8 cm
Chose 500, did you? This is jeopardy guys.
If there are even number of players in your team, your team wins 250 points BUT if not, your team loses 250 points.