Respuesta :

Answer:  462 cm^3

Step-by-step explanation:

formula for triangular prisms:

0.5*b*h = V

b or base = 6*6 cm

h or height = 7 cm

7 * 6 * 6 * 0.5 = 126

V or Volume of triangular prism is 126 cm^3.

formula for rectangular prisms:

b * h = V

b or base = 8*6 cm

h or height = 7 cm

8 * 6 * 7 = 336

V or Volume for rectangular prism is 336 cm^3.

Total Volume of Composite Figure = sum of both Volumes

336 + 126 = 462 cm^3.

Volume of the triangular prism:

[tex]v = a \times b \times h \times \frac{1}{2} [/tex]

[tex]v = 6 \times 6 \times 7 \times \frac{1}{2} [/tex]

[tex]v = 126 \: {cm}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = whl[/tex]

[tex]v = 7 \times 8 \times 6[/tex]

[tex]v = 336 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 126 + 336[/tex]

[tex]v = 462 \: {cm}^{3} [/tex]

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