Which of the following solid has six rectangular faces?
1. Cuboid
2. Pyramid
3. Cone
4. Triangular prism
Answer
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Hint: We all know that all shapes and figures can be classified according to their dimensions. They are two-dimensional figures and three-dimensional figures. Both the figures play an important role in real applications. We can easily classify three-dimensional figures based on the known information such as faces of the figures, the base of the figures, edges, and vertices of figures.
In particular, three-dimensional shapes have three dimensions (i.e. length, width, and height). Compared to two-dimensional figures, three-dimensional shapes have thickness.
Here, we are asked to find the solid having six rectangular faces.
Complete step by step answer:
1) The given solid is cuboid.
It contains twelve edges, eight vertices and six rectangular faces.
Hence option 1) is correct.
2) The given solid is the pyramid.
It contains eight edges, five vertices, five faces; in particular, it contains one square base and four triangular faces.
Hence, option 2) is incorrect.
3) The given solid is a cone.
Also, this solid contains two circular bases and one curved surface.
Hence, option 3) is incorrect.
4) The given solid is a triangular prism.
It contains nine edges, six vertices, and five faces; in particular, it contains two triangular faces and three rectangular faces.
Hence, option 4) is incorrect.
So, the correct answer is “Option 1”.
Note:
Three-dimensional shapes have three dimensions (i.e. length, width, and height). Compared to two-dimensional figures, three-dimensional shapes have thickness.
Here, we are asked to find the solid having six rectangular faces.
Hence, the cuboid contains six rectangular faces.
In particular, three-dimensional shapes have three dimensions (i.e. length, width, and height). Compared to two-dimensional figures, three-dimensional shapes have thickness.
Here, we are asked to find the solid having six rectangular faces.
Complete step by step answer:
1) The given solid is cuboid.
It contains twelve edges, eight vertices and six rectangular faces.
Hence option 1) is correct.
2) The given solid is the pyramid.
It contains eight edges, five vertices, five faces; in particular, it contains one square base and four triangular faces.
Hence, option 2) is incorrect.
3) The given solid is a cone.
Also, this solid contains two circular bases and one curved surface.
Hence, option 3) is incorrect.
4) The given solid is a triangular prism.
It contains nine edges, six vertices, and five faces; in particular, it contains two triangular faces and three rectangular faces.
Hence, option 4) is incorrect.
So, the correct answer is “Option 1”.
Note:
Three-dimensional shapes have three dimensions (i.e. length, width, and height). Compared to two-dimensional figures, three-dimensional shapes have thickness.
Here, we are asked to find the solid having six rectangular faces.
Hence, the cuboid contains six rectangular faces.
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