Terms
Define the term POINT
A specific location in space with no dimensions (no length, width, or height). It's often represented by a dot.
Describe a RECTANGULAR PRISM
A three-dimensional solid object bounded by six rectangular faces, with three faces meeting at each vertex.
What is a ARC?
A portion of the circumference of a circle. While circles are 2D, arcs are important when talking about the curved surfaces of 3D shapes like cylinders, cones, and spheres.
What is the formula for finding the AREA OF A TRIANGLE
A= (bxh)1/2
If a cube has a side length of 4 inches, what is the length of one of its edges?
4 Inches
Define the term LINE
A one-dimensional path that extends infinitely in two opposite directions. It has length, but no width or height.
Describe a SPHERE
A perfectly round three-dimensional object in which every point on its surface is equidistant from its center.
How do you find ARC LENGTH?
By multiplying the radius by the central angle in radians, or by using the fraction of the full circle's circumference if the angle is in degrees.
What is the formula for VOLUME OF A CONE
V= (πr^2h)1/3
How many faces does a triangular pyramid have?
4 faces (1 triangular base + 3 triangular sides)
What is a two-dimensional flat surface that extends infinitely in all directions. It has length and width, but no thickness?
A Plane
What is a three-dimensional solid object with two parallel and congruent circular bases connected by a curved surface.
A Cylinder
An angle whose vertex is at the center of a circle, and whose sides (rays) extend to two points on the circle.
A Central Angle
Name this formula: A= 4nr^2
Area of a sphere
Calculate the volume of a rectangular prism with a length of 6 feet, a width of 2 feet, and a height of 5 feet
60 cubic feet (V=lwh=6×2×5=60)
What is a line segment where two faces of a polyhedron meet?
An Edge
What is a three-dimensional solid object that tapers smoothly from a flat, circular base to a single point called the apex or vertex?
An angle whose vertex is on the circle itself, and whose sides (chords) extend to two other points on the circle.
Inscribed Angle
Name this formula: V= nr^2h
Volume of a cylinder
A cylindrical can has a radius of 3 cm and a height of 10 cm. In terms of π, what is the volume of the can?
90π cubic centimeters (V=πr2h=π×32×10=π×9×10=90π)
What is the curved surface of a cylinder or cone, or the side faces of a prism or pyramid (excluding the bases)?
The Lateral Surface
What is a polyhedron with a polygonal base (most commonly a square) and triangular faces that meet at a single point (the apex)?
A Pyramid
What is a line segment whose endpoints both lie on the circumference of a circle or other curve?
A Chord
Name this formula: V= (1/2(sb+lb))bxl
Volume of a trapezoidal prism
A sphere has a radius of 3 units. What is its surface area, in terms of π?
36π square units (SA=4πr2=4π×32=4π×9=36π)