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QUESTION IMAGE

select the correct answer from each drop - down menu. a toy chest is sh…

Question

select the correct answer from each drop - down menu.
a toy chest is shown.
image of a toy chest
which shapes best model the parts of the toy chest?
the bottom part of the chest is best modeled by dropdown because each face is - a dropdown.
the top part of the chest is best modeled by dropdown because some faces are dropdown.
dropdown options: rectangular prism, cylinder, rectangular pyramid, cone

Explanation:

Step1: Analyze the bottom part

The bottom part of the toy chest has six rectangular faces (or a combination of rectangles, with opposite faces equal and parallel), which matches the definition of a rectangular prism. A rectangular prism has 6 faces, all of which are rectangles (or some may be squares) and opposite faces are congruent and parallel. So the bottom part is best modeled by a rectangular prism.

Step2: Analyze the top part (assuming typical toy chest top)

The top part, often like a lid with a sloped or pyramidal - like top (from the visual of a toy chest), a rectangular pyramid has a rectangular base and triangular faces. If the top has a base that is rectangular and the other faces are triangles, it is a rectangular pyramid. But for the bottom part, as we saw, rectangular prism is correct. For the face of the bottom part (rectangular prism), each face is a rectangle (or square, a special case of rectangle).

Answer:

The bottom part of the chest is best modeled by \(\boldsymbol{\text{rectangular prism}}\) because each face is a \(\boldsymbol{\text{rectangle}}\) (assuming the second drop - down for the bottom part's face; for the top part, if we consider, but based on the first drop - down for bottom, the answer for the first drop - down is rectangular prism).