Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17 [tex]mm^2[/tex]
The surface area of the triangular prism is 55.5,127.5,135,or 150 [tex]mm^2[/tex]
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]
(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]
The dimensions of the lateral rectangles are:
- 2.5 mm by 8mm
- 6 mm by 8mm
- 6.5 mm by 8mm
Therefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]
Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
