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riri95
13.05.2021 •
Mathematics
Solve the system by substitution.
x=2y+7
3x-2y=3
Please explain how you solved it
Solved
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Ответ:
The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).
The area of one triangular face is 7.5 mm²
The surface area of the triangular prism is 135 mm²
Step-by-step explanation:
A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.
Area of one triangular face =![\frac{1}{2} * base * height](/tpl/images/0685/3051/d1db5.png)
Given base = 2.5 mm and height = 6 mm
Area of one triangular face =![\frac{1}{2} *2.5 * 6\\](/tpl/images/0685/3051/74ceb.png)
Surface area of triangular prism = bh + pH
b= base of the triangle = 2.5 mm
h- height of the triangle = 6 mm
p= perimeter of the triangle = base + height + slant height = 2.5+6+6.5
p = 15 mm
H= height of the prism = 8mm
Surface area of triangular prism = 2.5(6)+15(8)
Surface area of triangular prism = 15 + 120
Surface area of triangular prism = 135mm²