The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

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50 pointssssssss Simplify the following. Please leave it in exponential form. 3^8 × 1/3^1

skelet666 [1.2K]

Answer:

3^7

Step-by-step explanation:

We know that $3^8=3\cdot3^7$ and since it's multiplied by $\frac{1}{3}$ which is the same thing as $\frac{1}{3}^1$ we know that $3\cdot\frac{1}{3}\cdot3^7=3^7$ .