What is the volume of atriangular pyramid that is6 inches tall and has abase area of 7 squareinches?cubic inchesVolume of a pyramid: V = {Bh (Where "B" is the area of the pyramid's base.)

What is the volume of atriangular pyramid that is6 inches tall and has abase area of 7 squareinchescubic inchesVolume of a pyramid V Bh Where B is the area of t class=

Respuesta :

SOLUTION

Volume of a Pyramid is given as

[tex]\begin{gathered} V=\frac{1}{3}Bh \\ \text{Where V = volume of the pyramid} \\ B=basearea=7in^2 \\ h=\text{ height = 6 inches } \end{gathered}[/tex]

Substituting the values for height and base area, we have

[tex]\begin{gathered} V=\frac{1}{3}Bh \\ V=\frac{1}{3}\times7\times6 \\ 6\text{ divides 3, we have 2, } \\ V=7\times2 \\ V=14in^3 \end{gathered}[/tex]

Hence, the answer is 14 cubic-inches