About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Understanding surface area of 3D shapes

NY.GEO-G.C.1

Central angles and proofs

NY.GEO-G.C.2a

Central and inscribed angles in circles

NY.GEO-G.C.2b

NY.GEO-G.C.5

auto-gen

Converting between degrees and radians

Trigonometric ratios of angles in radians

Radian measure and arc length

NY.GEO-G.CO.1

Line symmetry

Angles in a circle

Chord properties

Circles and circumference

Circle properties

Arcs of a circle

Areas and sectors of circles

Parallel and perpendicular line segments

Identifying Parallel Lines

Identifying Perpendicular Lines

NY.GEO-G.CO.10

Classifying triangles

Isosceles and equilateral triangles

NY.GEO-G.CO.11

Area and perimeter of parallelograms

2d shapes area and perimeter of parallelogram

2d shapes area and perimeter of parallelograms

NY.GEO-G.CO.12

Perpendicular bisectors

NY.GEO-G.CO.13

Inscribed angles and proofs

NY.GEO-G.CO.2

Rotational symmetry and transformations

Introduction to transformations

NY.GEO-G.CO.3

Horizontal and vertical distances

NY.GEO-G.CO.6

Congruence and congruent triangles

NY.GEO-G.CO.7

Triangles congruent by SSS proofs

NY.GEO-G.CO.8

Triangles congruent by SAS and HL proofs

Triangles congruent by ASA and AAS proofs

NY.GEO-G.CO.9

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

NY.GEO-G.GMD.1

Surface area and volume of prisms

Surface area and volume of cylinders

Surface area and volume of cones

NY.GEO-G.GMD.3

Surface area and volume of pyramids

NY.GEO-G.GMD.4

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

NY.GEO-G.GPE.1a

Conics - Circle

NY.GEO-G.GPE.1b

NY.GEO-G.GPE.4

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Introduction to vectors

NY.GEO-G.GPE.5

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

NY.GEO-G.GPE.6

Midpoint formula: \(M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)\)

Midpoint formula

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)</katex>

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

NY.GEO-G.GPE.7

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

NY.GEO-G.MG.1

Scale diagrams

NY.GEO-G.MG.2

Word problems of polynomials

NY.GEO-G.SRT.1

Enlargements and reductions with scale factors

NY.GEO-G.SRT.2

Similar triangles

NY.GEO-G.SRT.4

Pythagorean theorem

Pythagorean Theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

NY.GEO-G.SRT.5

Similar polygons

NY.GEO-G.SRT.6

Use sine ratio to calculate angles and sides (Sin = o / h)

Use tangent ratio to calculate angles and sides (Tan = o / a)

NY.GEO-G.SRT.7

Use cosine ratio to calculate angles and sides (Cos = a / h)

Cofunction identities

NY.GEO-G.SRT.8

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

NY.GEO-G.SRT.9

Area of triangles: 1/2 a*b sin(C)

math

<p>- Hi, welcome to this question right here. So this kind of a fun problem, cause right now, you're gonna outline the front, the top, and the left view of this diagram right here. Okay? So, let's do the front first. Okay? Since that was the first one. So, if you look at the front, basically, what we have is, you're looking from this direction. Okay? So, I'm doing the blue ones. So, I got 1, 2, 3, 4, 5, 6. Okay? I got six blocks. If I'm looking from this direction, I have only seen the six blocks. So basically, I got a bottom three. Basically, 1, 2, and 3, it's all there. And I got a top two right here. Okay. So, there's another two and following there is one more on the top. So, that's basically the graph for the front part. Okay? It's good that you havea different color pen, and then you're just gonna dot them and then just visualize and draw just a two-dimensional of the front. Then let's go to the top. Let's change the color of the pen right here. Let's go to the top. Okay? So, doing it from the top, that means you're looking it from the top-down. So, there is your 1, 2, 3, 4, and 5. Okay. So, let's put the dots on that. They're clear but as you can see, there's only two rows if you're looking from the top. And clearly you got the back row all completed. So, I can see it from the back that there is three pieces and then there's two more in the front on the further left right here. So basically, this is what you have from the top view. Okay? Now, let's do it from the side view here. Let's grab the last color right here, which is the red. The side view, pretend that you're looking from this way. Okay? So, there is your 1, 2, and the 3 and there is a 4 on the top. Okay? So, here is my side view right here, let's go to the bottom right there. Here is my side view. I got the first three on the left all completed. Okay? Draw a big one right here and cut it into three equal parts. And then I have one more at the bottom and that's it. Okay? So, that is my side view right here. Again, grab a color pen, pen or pencil, blue pen, black pen, dot them and then you will be able to draw them really easily. Okay? Have fun with them. Thanks for watching.</p>

Imagine you are looking at a 3-dimensional shape, for example, a cereal box. It looks like large rectangle from the front. From the side, it may look like a much thinner rectangle. However, you are sure that it is the same cereal box. It is because 3-dimensional shapes have many surfaces, and they do not necessarily look the same from different angles.

Surface area of three-dimensional (3D) objects