Question

Vic and James are attempting "The Cubic Challenge." How many cubes do they think they need for the 6th figure?

a) 216 cubes
b) 108 cubes
c) 432 cubes
d) 54 cubes

Answer 1

For the 6th figure in "The Cubic Challenge," Vic and James would need 216 cubes, as each figure in the series follows an n x n x n pattern. So, for figure 6, the calculation is 6 to the third power, which equals a. 216.

Step-by-step explanation:

Vic and James are attempting "The Cubic Challenge" and need to determine how many cubes they require for the 6th figure. To solve this, we must understand the pattern of cube usage. Assuming this challenge involves creating a series where each figure is a larger cube made of smaller unit cubes, the nth figure would be an n x n x n cube. Therefore, for the 6th figure, we'd need a 6 x 6 x 6 cube which equates to 63 cubes.

Calculating 63 gives us:

6 x 6 x 6 = 216 cubes.

Thus, for the 6th figure, Vic and James would need 216 cubes, which corresponds to option (a).