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Identify the statement that is false for a prism.
- a)A right prism has rectangular lateral faces.
- b)A right prism has two bases.
- c)A right prism has triangular lateral faces.
- d)A right prism has identical parallel faces.
Correct answer is option 'C'. Can you explain this answer?
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Identify the statement that is false for a prism.a)A right prism has r...
False Statement: A right prism has triangular lateral faces.
Explanation:
A prism is a three-dimensional geometric figure that has two identical parallel bases and lateral faces that connect the corresponding vertices of the bases. The lateral faces are parallel to each other and are identical in shape. The bases of a prism are typically polygons, and the shape of the lateral faces depends on the shape of the bases.
A right prism is a type of prism where the lateral edges are perpendicular to the bases. In other words, the lateral faces form right angles with the bases. There are different types of right prisms, including rectangular prisms, triangular prisms, and pentagonal prisms, among others.
Let's analyze each statement to determine which one is false:
a) A right prism has rectangular lateral faces:
This statement is true. A right prism can have rectangular lateral faces. An example of a right prism with rectangular lateral faces is a rectangular prism or a cuboid.
b) A right prism has two bases:
This statement is true. A right prism always has two bases that are identical and parallel. These bases can be any polygon, such as a rectangle, triangle, or pentagon.
c) A right prism has triangular lateral faces:
This statement is false. A right prism does not have triangular lateral faces. Triangular lateral faces would make the prism a triangular prism, not a right prism. In a right prism, the lateral faces are parallel to each other and have the same shape as the bases.
d) A right prism has identical parallel faces:
This statement is true. A right prism has identical parallel faces. The bases are identical and parallel, and the lateral faces are also identical and parallel to each other.
Conclusion:
The false statement for a prism is option 'c' - A right prism has triangular lateral faces. A right prism does not have triangular lateral faces; instead, the lateral faces are parallel and have the same shape as the bases.
Explanation:
A prism is a three-dimensional geometric figure that has two identical parallel bases and lateral faces that connect the corresponding vertices of the bases. The lateral faces are parallel to each other and are identical in shape. The bases of a prism are typically polygons, and the shape of the lateral faces depends on the shape of the bases.
A right prism is a type of prism where the lateral edges are perpendicular to the bases. In other words, the lateral faces form right angles with the bases. There are different types of right prisms, including rectangular prisms, triangular prisms, and pentagonal prisms, among others.
Let's analyze each statement to determine which one is false:
a) A right prism has rectangular lateral faces:
This statement is true. A right prism can have rectangular lateral faces. An example of a right prism with rectangular lateral faces is a rectangular prism or a cuboid.
b) A right prism has two bases:
This statement is true. A right prism always has two bases that are identical and parallel. These bases can be any polygon, such as a rectangle, triangle, or pentagon.
c) A right prism has triangular lateral faces:
This statement is false. A right prism does not have triangular lateral faces. Triangular lateral faces would make the prism a triangular prism, not a right prism. In a right prism, the lateral faces are parallel to each other and have the same shape as the bases.
d) A right prism has identical parallel faces:
This statement is true. A right prism has identical parallel faces. The bases are identical and parallel, and the lateral faces are also identical and parallel to each other.
Conclusion:
The false statement for a prism is option 'c' - A right prism has triangular lateral faces. A right prism does not have triangular lateral faces; instead, the lateral faces are parallel and have the same shape as the bases.
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Identify the statement that is false for a prism.a)A right prism has rectangular lateral faces.b)A right prism has two bases.c)A right prism has triangular lateral faces.d)A right prism has identical parallel faces.Correct answer is option 'C'. Can you explain this answer?
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