What is the maximum number of identical pieces a cube can be cut into by 13 cuts.a. 120          b. 140                    c. 180          d. 150           a.  b.  c.  d.

To find the maximum number of identical pieces a cube can be cut into by 13 cuts, we can use a formula.

The formula is given by (n^3 + 5n + 6)/6, where n is the number of cuts.

In this case, n = 13.

Plugging in the value of n into the formula, we get (13^3 + 5*13 + 6)/6 = (2197 + 65 + 6)/6 = 2268/6 = 378.

Therefore, the maximum number of identical pieces a cube can be cut into by 13 cuts is 378.

None of the given options (a. 120, b. 140, c. 180, d. 150) match the correct answer.

To find the maximum number of identical pieces a cube can be cut into by 13 cuts, we can use a formula.

The formula is given by (n^3 + 5n + 6)/6, where n is the number of cuts.

In this case, n = 13.

Plugging in the value of n into the formula, we get (13^3 + 5*13 + 6)/6 = (2197 + 65 + 6)/6 = 2268/6 = 378.

Therefore, the maximum number of identical pieces a cube can be cut into by 13 cuts is 378.

None of the given options (a. 120, b. 140, c. 180, d. 150) match the correct answer.