Answer:
Volume(V) of the triangular prism 31.5 cubic inches.
Step-by-step explanation:
Since this figure represents the triangular Prism.
Given in the figure:
Length of triangular prism [tex]l[/tex] is 4.5 in.
In the right triangular cross-section,
Base (b) = 2 in and the height (h) = 7 in.
Volume of triangular prism formula: - A triangular prism whose length is l units, and whose right triangular cross section has base b units and height h units, then
Volume(V) of the right triangular prism is given by;
[tex]V = \frac{1}{2} bhl[/tex] cubic unit
Using the above values; solve for V; [tex]V = A \cdot l[/tex] where A is the area of right triangle, or we can write it as [tex]V =\frac{1}{2} bhl[/tex]
⇒ [tex]V = \frac{1}{2} \cdot 2 \cdot 7 \cdot 4.5[/tex] cubic inches.
On simplifying we get,
[tex]V = 31.5 inches^3[/tex]
Hence, the volume of the triangular Prism is, 31.5 cubic inches.
