Respuesta :
The question is incomplete. Here is the complete question:
What is the volume of this triangular prism?
Base length = 22.4 cm
Height = 18.1 cm
Length = 28 cm
A) 313.6 cm3
B) 506.8 cm3
C) 5,676.16 cm3
D) 11,352.32 cm3
Answer:
[tex]V=5,676.16\ cm^3[/tex]
Step-by-step explanation:
Given:
The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.
The volume of a triangular prism is defined by the formula:
[tex]V=(Area\ of\ base)\times (length)[/tex]
Here, the base is triangular and the area of a triangle is:
[tex] A=\frac{1}{2}base \times height[/tex]
Therefore, the volume of the triangular prism is given as:
[tex]V=\frac{1}{2}(base\times height\times length)[/tex]
Now, plug in the given values and solve for the volume 'V'.
[tex]V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3[/tex]
Therefore, the correct answer is the third option.
[tex]V=5,676.16\ cm^3[/tex]
