Question

What is the T.A. = and V =

Answer 1

T.A. = (54 + 9/2 √3 )

V = 27/2 √3

Explanation:

Hello, the person above me is correct, although instead of 13.5, it would be 9/2; so convert the decimal amount into a fraction. Regardless, both of these answers are correct, as I just finished the lesson.

Hope this helps.

Answer 2

The formula of the area of the equilateral triangle:

`A_\Delta=(a^2\sqrt3)/(4)\\\\a=3\to A_\Delta=(3^2\sqrt3)/(4)=(9\sqrt3)/(4)`

The formula of the area of the rectangle:

`A=width* length=wl\\\\w=3;\ l=6\\\\A=3\cdot6=18`


`T.A.=2A_\Delta+3A\\\\T.A.=2\cdot(9\sqrt3)/(4)+3\cdot18=(9\sqrt3)/(2)+54=(54+4.5\sqrt3)\ in^2`
The formula of the volume of the triangular prism:

`V=A_\Delta\cdot l\\\\V=(9\sqrt3)/(4)\cdot6=(9\sqrt3)/(2)\cdot3=(27\sqrt3)/(2)=13.5\sqrt3\ in^3`