Traditional Culture Encyclopedia - Photography and portraiture - The three views of the geometric figure are as shown in the figure, and the top view is rhombic. 1. The name of this geometry is (). 2. Please search according to the data given in the figure.
The three views of the geometric figure are as shown in the figure, and the top view is rhombic. 1. The name of this geometry is (). 2. Please search according to the data given in the figure.
Test center: judging geometry through three views.
Analysis: As can be seen from the three views, this figure is a quadrangular prism, and then the side length of the diamond is calculated according to the diagonal of the bottom diamond, and then the side area is calculated.
Solution: Solution: The shape of this geometry is a right-angled quadrangular prism.
According to the three views, the diagonal length of the rhombus at the bottom of the prism is 4cm, 3cm,
∴ Side length of diamond =(32)2+(42)2=52cm,
The side area of the prism is 52× 8× 4 = 80 square centimeters.
Comments: This question should first judge the shape of the geometry, and then calculate it according to its lateral area calculation method.
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