The name of the 3D Shape shown in figure is triangular prism and the surface area of the figure is 111 cm².
What is of total surface area of a triangular prism?
The total surface area of a triangular prism is the sum of area of its each face.
Total surface area of a triangular prism is calculated with the following formula,
[tex]A=bh+(s_1+s_2+s_3)l[/tex]
Here, (b) is the base of the triangle, h is the height of base of prism, (s1,s2,s3) are the sides or base and l is the length of the prism.
- A. The name of the 3D Shape-
The name of the 3D Shape shown in the figure is a right triangular prism.
- B. The formula for total surface area for this shape-
The formula to find the total surface area for this shape is,
[tex]A=bh+(s_1+s_2+s_3)l[/tex]
- C. The surface area of the figure-
The sides of the triangle are 3cm,4cm and 5 cm long. The length of the prism is 11 cm, the height of the triangular base is 3 cm and base is 4 cm long.
Put these values in the above formula,
[tex]A=4\times3+(3+4+5)11\\A=12+(9)11\\A=12+99\\A=111\rm cm^2[/tex]
Thus, the name of the 3D Shape shown in figure is triangular prism and the surface area of the figure is 111 cm².
Learn more about the surface area of a triangular prism here;
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