The volume of the triangular prism is equal to [tex]270[/tex] cu. units.
What is volume?
" Volume is defined as the total space occupied by a three-dimensional object."
Formula used
Volume of a triangular prism = Area of the base × height
Area of the base [tex]= \frac{1}{2} \times base \times height[/tex]
According to the question,
Given dimensions,
Base of triangle [tex]= 9 units[/tex]
Height of the triangle [tex]=4 units[/tex]
Height of the triangular prism [tex]= 15 units[/tex]
Substitute the value in the formula to get the area of the base we have,
Area of the base [tex]= \frac{1}{2}\times 9\times 4[/tex]
[tex]= 18 square units[/tex]
Volume of a triangular prism [tex]= 18 \times 15[/tex]
[tex]= 270 cu.units[/tex]
Hence, the volume of the triangular prism is equal to [tex]270[/tex] cu. units.
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