Given that Volume of triangular prism = 216 cubic centimetre
Given that Height of the pencil = 12 centimetre
Now we have to find the area of the base of the prism means find the area of triangular part.
Volume of triangular prism is given by formula:
Volume of triangular prism = (Area of base) x (Height of the prism)
now plug the given values
216= (Area of the base) x 12
[tex] \frac{216}{12}= [/tex] Area of the base
18= Area of the base
Hence final answer is 18 square centimetres.
The area of base of the pencil holder is [tex]18cm^2[/tex]
The pencil holder has a volume that can be calculated by multiplying its triangular base area by its perpendicular height.
The formula for calculating the volume of the pencil holder is given by
[tex]V=Ah[/tex]
where
[tex]V=\text{the volume of the pencil holder}\\A=\text{the area of the triangular base}\\h=\text{the perpendicular height}[/tex]
The value of the base area is unknown, but we can substitute the values of the volume and height into the formula to find the value of the base area.
[tex]V=A\times h\\\\216=A\times 12\\\\\implies A=\dfrac{216}{12}=18[/tex]
The area of the base is [tex]18cm^2[/tex]
Learn more about volumes here brainly.com/question/1153556
