Tag: math & puzzles

To find the value of x, we can use the given information.

We are given that x = y = 2z and xyz = 256.

Since x = y, we can substitute x with y in the second equation:

xy * z = 256

(x * x) * z = 256

x^2 * z = 256

Now, we know that x = 2z, so we can substitute x in terms of z:

(2z)^2 * z = 256

4z^2 * z = 256

4z^3 = 256

To solve for z, we can divide both sides of the equation by 4:

z^3 = 64

Taking the cube root of both sides gives us:

z = 4

Now that we know the value of z, we can substitute it back into the equation x = y = 2z:

x = y = 2 * 4

x = y = 8

Therefore, the value of x is 8.

The answer is: C. 8

To solve this question, the user needs to understand the characteristics of each shape and identify which one is different from the others.

Explanation of each option:

A. cube: A cube is a three-dimensional shape that has six square faces, eight vertices, and 12 edges.

B. sphere: A sphere is a three-dimensional shape that is perfectly round in shape, like a ball. It has no edges or vertices and has a curved surface.

C. pyramid: A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single vertex.

D. circle: A circle is a two-dimensional shape with a curved boundary and every point on the boundary is an equal distance from the center point.

Option D is least like the others because it is the only two-dimensional shape. The other three options are three-dimensional shapes. Therefore, the answer is:

The Answer is: D