帮我分析如何回答---Practice
1. Amanda combines some of these shapes. Choose the shapes below she can make.
Available Shapes:
Two cones, one long rectangular prism, two cubes, two cylinders.
Options:
A:
Description: A structure with a base formed by one long rectangular prism. Three cubes are placed side-by-side on top of the rectangular prism. A cylinder is placed on top of the rightmost cube.
B:
Description: A structure with a base formed by a cube and a long rectangular prism placed next to each other in an L-shape arrangement (the cube is in front, the rectangular prism is behind). Stacked vertically on top of the rectangular prism base are three identical blocks that appear to be rectangular prisms, taller than the cubes.
C:
Description: A structure formed by two cylinders placed side-by-side, with a cone placed on top of each cylinder.
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Amanda has a collection of 3D shapes: two cones, one long rectangular prism, two cubes, and two cylinders. We need to determine which of the given options she can actually build using only these available shapes.
Let's analyze Option A. This structure needs one rectangular prism as the base, which Amanda has. It requires three cubes placed side by side on top, but Amanda only has two cubes available. It also needs one cylinder on top of the rightmost cube. Since Amanda lacks the third cube, Option A is impossible to build.
Now let's examine Option B. This structure has an L-shaped base made of one cube and one rectangular prism, both of which Amanda has. However, it requires three additional rectangular prisms stacked vertically on the base. Since Amanda only has one rectangular prism in total, and it's already used for the base, Option B is also impossible to build.
Finally, let's check Option C. This structure consists of two cylinders placed side by side, with one cone on top of each cylinder. Amanda has exactly two cylinders and exactly two cones available. This option uses all the required shapes without exceeding any limits. Therefore, Option C is the only structure Amanda can successfully build with her available shapes.
In conclusion, after analyzing all three options, only Option C can be built with Amanda's available shapes. Option A requires too many cubes, Option B needs too many rectangular prisms, but Option C perfectly matches the available inventory of two cylinders and two cones. Therefore, the correct answer is C.