Chapter 10

Willow M.

Measurement, Area, and Volume

This unit is about measurement, area, and volume. This Smore will help you remember functions, labels, what certain symbols mean, and more.



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Vocab

10-1

Base of parallelogram-Length of any one of its sides

Height of parallelogram-perpendicular distance between the base and the opposite side

Bases of trapezoid-its 2 parallel sides

Height of trapezoid-perpendicular distance between the bases

10-2

Diameter-distance across the circle through the center

Circumference-perimeter of a circle

10-3

Solid-3D figure that encloses part of space

Polyhedron-a solid that is enclosed by polygons

Face-polygons that form a polyhedron

Prism-a polyhedron w/ 2 congruent bases that are parallel

Pyramid-a polyhedron w/ 1 base and the rest are triangles

Cone-a solid w/ 1 circular base

Sphere-a solid that is formed by all points in space that are the same distance away from a fixed point called the center

Edge-where faces meet

Vertex-where edges meet

10-4

Net-2D pattern that forms a solid when folded

Surface Area-the sum of the areas of a polyhedron's faces

10-5

Slant Height-height of a lateral face that is not the base on a regular pyramid

10-6

Volume-a measurement that measures how much space an object occupies

Section 10-1

Area of Parallelogram 2D

A=b*h


A=Area

b=base

h=height

Area of 2D Trapezoid

A=1/2*(b¹*b²)*h


b¹=1st base

b²=2nd base

Section 10-2

Area of a Circle

A=(pi)*r²


r=radius

Section 10-4

Surface Area of a Prism

S=2*B+P*h


B=Area of Base

P=Base's Perimiter

Surface Area of a Cylinder

S=2*B+C*h

AKA

S=2*(pi)*r²+2*(pi)*r²*h


C=Base's Circumference

Section 10-5

Surface Area of a Pyramid

S=B+1/2*P*l


l=Slant Height

Surface Area of a Cone

S=(pi)*r²+(pi)*r*l

Surface Area of a Sphere

S=4*(pi)*r²

Volume of a Sphere

V=4/3*(pi)*r³
Big image

Section 10-6

Volume of a Prism

V=B*h

Volume of a Cylinder

V=B*h

AKA

V=(pi)*r²*h

Section 10-7

Volume of a Pyramid

V=1/3*B*h

Volume of a Cone

V=1/3*B*h

AKA

V=1/3*(pi)*r²*h

Big image