Question

What is the number on the small cube at the other end of the body diagonal that has the small cube numbered 1?
A)  512
B)  525
C)  625
D)  243​

Answer 1

Answer:

option D

Step-by-step explanation:

243 is the correct answer

Answer 2

Answer:

The correct answer will be -

(A) 512

Step-by-step explanation:

Rules we are following -

• We will start from the left-hand side, and number the small cubes 1 to 8, from left to right.
• Then we will place cube no. 9 behind cube no. 1 to start the second row, and proceed to cube no. 64.
• Then will start the second layer on top of cube no 1, and build the second layer from left to right, and front to back like the first layer.

When we place the cubes the body diagonal that has the cube numbered 1 starts in the bottom-left-front corner and since it is the body diagonal, it will extend all the way to the top-right-back corner. This cube will have the number

$P = (8-1)\times 64 + 64 = 512$

As we can see, this is the last cube that is placed. So it will be numbered 512.

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