Mathematics: Apencil holder shaped like a triangular prism the height of the pencil is 12cm and the volume is 216cm what is the area of the base in square centimeters

Apencil holder shaped like a triangular prism the

MaxHunter8377

14.03.2022

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

$\frac{216}{12}=$ Area of the base

18= Area of the base

Hence final answer is 18 square centimetres.

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vickReis06

14.03.2022

The area of base of the pencil holder is 18cm^2

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

V=Ah

where

$V=\text{the volume of the pencil holder}\\A=\text{the area of the triangular base}\\h=\text{the perpendicular height}$

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.

$V=A\times h\\\\216=A\times 12\\\\\implies A=\dfrac{216}{12}=18$

The area of the base is 18cm^2

Learn more about volumes here link

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jonathanmontalv

26.09.2022

8*8 = 64
9*9 = 81

so integer part of sqrt 70 is 8 Answer

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