This is a rectangular prism:
This is a rectangular prism net:
Here are the measurements needed to get the total surface area (TSA) of the rectangular prism:
Here are the measurements on the rectangular net:
You use the formula L x W = a (Length times Width equals area of rectangle).
A = L x W
A = 2 x 3
A = 6cm
Since all the squares have the same measurements, we can add up the TSA now.
TSA = S1 + S2 + S3 + S4 + S5 + S6
TSA = 6 + 6 + 6 + 6 +6 +6
TSA = 36cm²
This is a Triangular Prism:
A Triangular Prism Net:
Triangle Prism with the measurements needed to get total surface area:
Net with measurements:
To get the total surface area, you need the formulas:
A = B x H / 2 (Area equals Base times Height divided by two)
A = L x W
To get the TSA, I'll first add 5cm, 6cm, 7cm because they're technically one line and that I can just multiply that number by the 3 cm instead of having to do it multiple times.
5 + 6 + 7=18cm
a = L x W
a = 3 x 18
a = 54cm²
a = B x H / 2
a = 6 x 5
a = 30 / 2
a = 15cm²
Since the other triangle has the same dimensions, we'll just add up the TSA.
TSA = S1 + S2 + S3
TSA = 15 + 15 + 54
TSA = 84 cm²
So the Total Surface Area of this triangle is 84cm².
This is a Cylinder:
This is a Cylinder Net:
This is the Cylinder with the measurements:
This is the Cylinder net with measurements:
These are the formulas needed to get the total surface area of a cylinder:
C = pi.d (Circumference equals pi times diameter)
R = D / 2 (radius equals diameter divided by two)
A = pi.r.r (area of circle equals pi times radius times radius)
A = LxW (area equals length times width)
How to get the total surface area:
We don't have all the needed measurements like circumference and radius yet, so we'll get them.
C = pi x d C = 3.14 x 10 C = 31.4cm
Remember, the circumference of a circle becomes the length of a rectangle.
r = D / 2 r = 10 / 2 r = 5cm
Now we can get the areas of the circle and rectangle.
A = pi.r.r A = 3.14 x 5 x 5 A = 78.5cm²
A = L x W A = 31.4 x 10 A = 314cm²
Now to add them all up:
TSA = C1 + C2 + S1 TSA = 78.5 + 78.5 + 314 TSA = 471cm²
And here's a video that me and Jim and Feppe made that shows what I did in this scribepost in video form. :D