match the following.

1 .
trapezoid
any surface that is not a base
2 .
volume
the ratio of the circumference of a circle to its diameter; approximately 3.14
3 .
pi
three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces
4 .
surface area
geometric figure with three dimensions
5 .
lateral surface
point where three or more edges meet
6 .
pyramid
the unit of measure for area
7 .
vertex
the total area of all the faces or surfaces of a three-dimensional figure
8 .
solid figure
a quadrilateral with one pair of parallel sides
9 .
square units
the amount of space inside a three-dimensional figure

1.Trapezoids: Characteristics

Probably the TRAPEZOID is one of the most popular quadrilaterals when it comes to bridge construction. Numerous railroad trestles and wooden bridges of the nineteenth and early twentieth centuries were trapezoidal in shape.

The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.

A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths.  

2.The circumference of a circle is the distance around the outside of the circle. ... The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56. If you know the radius, the diameter is twice as large.

3.a cube is a platonic solid because all six of its faces are congruent squares. ... A prism is a polyhedron whose bottom and top faces (known as bases) are congruent polygons and faces known as lateral faces are parallelograms (when the side faces are rectangles, the shape is known as right prism).

4.If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces). So, for example, if a each edge of a cube has a length s, the area of one face is s2 since it is a square.

5.A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. These triangular sides are sometimes called the lateral faces to distinguish them from the base.

6.The surface area and the volume of pyramids, prisms, cylinders and cones. The surface area is the area that describes the material that will be used to cover a geometric solid. ... The volume is a measure of how much a figure can hold and is measured in cubic units.

7.A flat surface of a solid figure; A polygon that is a flat surface of a three-dimensional figure. Example: A face is one of the polygonal surfaces of a polyhedron.

8.RHOMBUS (all sides congruent/opposite angles congruent) PARALLELOGRAM (quadrilateral with 2 pairs of parallel lines.) POLYGON (closed figure made up of line segments) trapezoid. a quadrilateral with exactly one pair of parallel sides.

9.Three-dimensional figure with two circular, parallel and congruent bases. A cube whose edges are one unit long. The number of cubic units needed to fill the space inside a three-dimensional figure. The set of points in space that are the same distance from a given point called the center.

the answer is 28

step-by-step explanation:

21

step-by-step explanation: