Here is a cube:

What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces?

Choose 1 answer:
(A) Triangle
(B) Square
(C) Trapezoid
(D) Pentagon

Question

Here is a cube:

What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces?

Choose 1 answer:
(A) Triangle
(B) Square
(C) Trapezoid
(D) Pentagon

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Consider the properties of a cube and the effect of slicing it parallel to one of its faces. ‖ ‖ step 2 ⋮ A slice parallel to a face of a cube will produce a shape that has the same number of sides as the face. ‖ ‖ step 3 ⋮ Since a cube has square faces, and a square has four sides, the resulting cross-section will also be a square. ‖ ∻1 Answer∻ ***B*** ∻Key Concept∻ ⚹Cross-sections parallel to a cube's face⚹ ∻Explanation∻ ⚹When slicing a cube parallel to one of its faces, the resulting cross-section is a shape congruent to that face, which is a square.⚹◊What is the equation of the parabola with a focus at $(-4,3)$ and a directrix at $y=5$⍭ Generate me a similar question◊

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