christiesmith28
christiesmith28 christiesmith28
  • 26-05-2020
  • Mathematics
contestada

The base is a right triangle with a leg of 12 in. and hypotenuse of 15 in.
The height of the prism is 10 in.what is the volume

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 26-05-2020

Answer:

V = 540 inches ^3

Step-by-step explanation:

The area of the base is found be finding the other leg

a^2 +b^2 = c^2

12^2+b^2 = 15^2

144 +b^2 = 225

b^2 = 225-144

b^2=81

Take the square root of each side

b = 9

We can find the area of the triangle

B = 1/2 (9*12)

B =54

The Volume is given by

V = Bh

V = 54*10

V = 540 inches ^3

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