Chapter 10

Hunter M


Area of a trapezoid A=1/2(b1+b2)h

Area of a circle A= r²*π

Surface area of a prism S=2B+PH

Surface area of a cone (need net to find) A=πr(r+√h²+r²)

Volume for a cylinder V=πr2h

Volume of a prism V=lwh (if is a triangle do V=lwh*1/2)

Volume of a pyramid V=1/3Bh

(B=area of base)


Section 1

-Base of a parallelogram: the length of any one of its sides

-Height of a parallelogram: the distance between the bases and opposite sides

-Bases of a trapezoid: its two parallel sides

-Height of a trapezoid: perpendicular distance between the base

Section 2

-Area: the extent or measurement of a surface

-Circle: a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

-Radius: a straight line from the center to the circumference of a circle or sphere

-Circumference: the enclosing boundary of a curved geometric figure, especially a circle

-Pi: the ratio of the circumference of a circle to its diameter

Section 3

-Solid: firm and stable in shape

-Polyhedron: a solid figure with many plane faces

-Face: the surface of a thing, especially one that is presented to the view or has a particular function, in particular

-Prism: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms

-Pyramid: an object, shape, or arrangement in the form of a pyramid

-Cylinder: a solid geometric figure with straight parallel sides and a circular or oval cross section.

-Cone: a solid or hollow object that tapers from a circular or roughly circular base to a point.

-Sphere: a round solid figure, or its surface, with every point on its surface equidistant from its center

-Edge: the outside limit of an object, area, or surface; a place or part farthest away from the center of something.

-Vertex: the highest point; the top or apex.

Section 4

-Net: two dimensional pattern that forms a solid when it is folded

-Surface area: the sum of the areas of its faces

Section 5

-Slant height: l of a regular pyramid is the height of a lateral face

Section 6

-Volume: the the measure of the amount of space it occupies

10.1 Areas of Parallelograms and Trapezoids

Practice Question

Question: What is the area of a trapezoid is base 1 is 37.6 base 2 is 28.9 and the height is 14.7

Answer: 488.77


10.2 Areas of Circles

Practice Question

Question: Find the area of the circle when the diameter is 15.9

Answer: 198.56

10.3 Three-Dimensional Figures

Practice Question

10.4 Surface Areas of Prisms and Cylinders

Cylinder Volume and Surface Area

10.5 Surface Areas of Pyramids and Cones

Introduction to Nets and 3D Objects

10.6 Volumes of Prisms and Cylinders

Volume of Shapes

10.7 Volumes of Pyramids and Cones


Area units2

Volume units3