The triangular prism has a base area of 6 square units and a volume of 63 cubic units. The pentagon-based prism has the same base area and height, but its shortest edge is 2 units long instead of 3 units long. What is the volume of the pentagon-based prism?

h = 21 unit ;

Volume = 630 unit³

Step-by-step explanation:

Given that :

Base area, B = 6 units²

Volume = 63 units³

Volume of triangular prism :

63 = 1/2 * base area * height

63 = 0.5 * 6 * h

63 = 3h

h = 63/3

h = 21 m

Volume of pentagonal prism :

V = 1/2(5 * side * apothem) * height

(1/2 * 5 * 6 * 2) * 21

(5 * 3 * 2 * 21)

= 630 unit³

its A C and E hope this helps

Step-by-step explanation:

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