Respuesta :

Volume = base area x height

Base area = 6 (1/2 x 3 x 2.6) = 23.4 cm²

Volume = 23.4 x 7 = 164 cm³ (nearest wole number)

Answer: Volume = 164 cm³
The volume of a hexagonal prism is expressed as:

[tex] \frac{3 \sqrt{3}}{2}*a^{2}*h[/tex]

a = the base's edge length
h = the prism's height

[tex]\frac{3 \sqrt{3}}{2}*(3)^{2}*7[/tex]

[tex]\frac{3 \sqrt{3}}{2}*9*7[/tex]

[tex]163.6788013152589042[/tex]

To the nearest cubic centimeter, the volume is 164 cm^3