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Fiesta28 [93]
2 years ago
7

What is the T.A. = and V =

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
8 0
The formula of the area of the equilateral triangle:
A_\Delta=\dfrac{a^2\sqrt3}{4}\\\\a=3\to A_\Delta=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}

The formula of the area of the rectangle:
A=width\times length=wl\\\\w=3;\ l=6\\\\A=3\cdot6=18

T.A.=2A_\Delta+3A\\\\T.A.=2\cdot\dfrac{9\sqrt3}{4}+3\cdot18=\dfrac{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=\dfrac{9\sqrt3}{4}\cdot6=\dfrac{9\sqrt3}{2}\cdot3=\dfrac{27\sqrt3}{2}=13.5\sqrt3\ in^3





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