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12 ft-What is the volume of atriangular pyramid that is12 ft tall and has a basearea of 5 square ft?cubic feet

12 FtWhat Is The Volume Of Atriangular Pyramid That Is12 Ft Tall And Has A Basearea Of 5 Square Ftcubic Feet class=

Sagot :

EXPLANATION:

Given;

We are given a triangular pyramid with the following dimensions;

[tex]\begin{gathered} Base\text{ }area=5ft^2 \\ Height=12ft \end{gathered}[/tex]

Required;

We are required to calculate the volume of this pyramid from the dimensions given.

Step-by-step solution;

The volume of a triangular pyramid is given by the formula;

[tex]Volume=\frac{1}{3}Bh[/tex]

Where the variables are;

[tex]\begin{gathered} B=base\text{ }area \\ h=height \end{gathered}[/tex]

The volume now will be calculated as follows;

[tex]\begin{gathered} Volume=\frac{1}{3}\times5\times12 \\ \\ Volume=20 \end{gathered}[/tex]

Therefore,

ANSWER:

[tex]V=20ft^3[/tex]

Volume = 20 cubic feet