Chapter 10

Angie C

Section 10.1 (Area of parallelograms)

Formula for the Area of a Parallelogram: A=b*h (Pic Below+Practice Question)

Area=base times height

Practice question

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How to find the area of a parrallelogram

How to Find the Area of a Parallelogram

Section 10.1 (Area of Trapezoids)

Area of a Trapezoid: A=1/2(b1+b2)*h (See pic Below)

Practice question

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Vocab for section 1

Base of a parallelogram- The length of any one of its sides.


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


Bases of trapezoids- Its two parallel sides.


Height of a trapezoid- The perpendicular distance between the bases.

Section 10.2 (Areas of Circles)

Formula for the area of a circle: A=Pie*r^2 (Below)

Area=Pie times the radius squared

Picture

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Practice question

A=Pie*r^2 Formula

A= 3.14*(5)^2 Substitute 3.14 for pie and 5 for r

A=78.5 Evaluate (the answer)

Pic Below

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All about circle formulas+etc

Math Antics - Circles, Circumference And Area

Vocab for section 2

Area- The number of square units covered by a figure.


Circle- All the set points in a plane that are the same distance from a fixed point.


Radius- The distance from the center point to any point.


Diameter- The distance across the circle through the center, or double the radius.


Circumference- The distance around a circle.

Section 10.4 (Surface Area of a Prisms)

Surface Area of a Prism: S= 2B+Ph

B= Area of the base

P= Base's perimeter

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Practice question

S=2B+Ph

S=2(1/2*10*12) + (13+13+10) *15

S=660

Video for the surface area of prisms and cylinders

Algebra Man - Surface Area of Prisms and Cylinders

Section 10.4 (Surface Area of a Cylinder)

Surface Area of a Cylinder: S= 2*Pie*r^2+2*Pie*r*h

Practice question

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Vocab for section 4

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


Surface Area- The sum of the areas of its faces.

Section 10.5 (Surface Area of Pyramids)

Surface area of a pyramid: S=B+1/2*P*Slant height

P= Base's perimeter

Practice question

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Video to find the surface area of a pyramid

How to Find the Surface Area of a Pyramid

Section 10.5 (Surface area of a cone)

Surface area of a cone: S=Pie*r^2+Pie*r*slant height

Practice question

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Vocab for section 5

Slant height- The height of a lateral face, that is, any face that is not the base.

Section 10.6 (Volume of prisms)

Volume of a prism: V=B*h

B=Area of the base

Practice question

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Real life tie in

If you wanted to know how much space the 8 kleenex boxes were taking up on your counter top, all you have to do is find the volume of one prism and then multiply it by 8, which is how many kleenex boxes you have.
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Section 10.6 (Volume of Cylinders)

Volume of a cylinder: V=Pie*r^2*h

Practice question

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Real life tie in

If you wanted to know how much space your disinfecting wipes take up in classroom, all you have to do is find the volume of a cylinder, V=Pie*r^2*h, and then you have your answer.
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Vocab for section 6

Volume- A measurement of the amount of space it occupies.

Section 10.7 (Volume of a pyramid)

Volume of a pyramid: V=1/3*B*h

B= area of the base

Practice question

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Section 10.7 (Volume of a cone)

Volume of a cone: V=1/3*Pie*r^2*h

Practice question

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Real life tie in

If we wanted to know how much space a Native Americans teepee took up all we would have to do is find the volume using the formula, V=1/3*Pie*r^2*h, and we would get are answer.
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Vocab for section 7

Pyramid- A polyhedron, have one base, and the other faces are triangles.


Cone- A solid with one circular base.


Volume- A measurement of the amount of space it occupies.

Formulas for every section

10.1:

Area of parallelograms: A=b*h

Area of trapezoids: A=1/2*(b1+b2)*h


10.2:

Area of circles: A=Pie*r^2


10.4:

Surface area of prisms: S=2B+Ph

Surface area of cylinders: S=2*Pie*r^2+2*Pie*r*h


10.5:

Surface area of pyramids: S=B+1/2*P*slant height

Surface area of cones: S=Pie*r^2+Pie*r*slant height


10.6:

Volume of prisms: V=B*h

Volume of cylinders: V=Pie*r^2*h


10.7:

Volume of prisms: V=1/3*B*h

Volume of cones: V=1/3*Pie*r^2*h

Volume of spheres: V=4/3*Pie*r^3

Vocab for every section

10.1:

Base of a parallelogram- The length of any one of its sides.


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


Bases of trapezoids- Its two parallel sides.


Height of a trapezoid- The perpendicular distance between the bases.


10.2:

Area- The number of square units covered by a figure.


Circle- All the set points in a plane that are the same distance from a fixed point.


Radius- The distance from the center point to any point.


Diameter- The distance across the circle through the center, or double the radius.


Circumference- The distance around a circle.


10.4:

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


Surface Area- The sum of the areas of its faces.


10.5:

Slant height- The height of a lateral face, that is, any face that is not the base.


10.6:

Volume- A measurement of the amount of space it occupies.


10.7:

Pyramid- A polyhedron, have one base, and the other faces are triangles.


Cone- A solid with one circular base.


Volume- A measurement of the amount of space it occupies.