Math

QuestionWhat is the term for the surface between the vertex and base of a cone? A. slant height B. altitude C. lateral surface D. surface area E. volume

Studdy Solution

STEP 1

Assumptions1. We are dealing with a cone, which is a three-dimensional geometric shape. . The vertex of a cone is the point at the top where all the lines meet.
3. The base of a cone is the flat circular surface at the bottom.
4. The surface lying between the vertex and the base of a cone is the curved surface that connects the vertex to the base.

STEP 2

From the given options, we need to determine the term that refers to the surface lying between the vertex and the base of a cone.

STEP 3

Option A, "slant height", refers to the distance from the vertex of the cone to the edge of the base, measured along the curved surface. This is not the correct answer because it refers to a measurement, not a surface.

STEP 4

Option B, "altitude", refers to the straight-line distance from the vertex of the cone to the center of the base. This is not the correct answer because it refers to a measurement, not a surface.

STEP 5

Option C, "lateral surface", refers to the curved surface that connects the vertex of the cone to the base. This is the correct answer because it refers to the surface lying between the vertex and the base of a cone.

STEP 6

Option D, "surface area", refers to the total area of all the surfaces of a three-dimensional object. This is not the correct answer because it refers to a measurement, not a surface.

STEP 7

Option, "volume", refers to the amount of space that a three-dimensional object occupies. This is not the correct answer because it refers to a measurement, not a surface.
The surface lying between the vertex and the base of a cone is called the lateral surface.

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