The volume of the prism shown is 1,080 inches cubed. A rectangular prism with a length of 15 inches, width of 9 inches, and height of 8 inches. What is the volume of a pyramid with the same base length, base width, and height? 360 inches cubed 540 inches cubed 1,080 inches cubed 3,240 inches cubed

9514 1404 393

  (a)  360 inches cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.

  (1/3)(1080 in³) = 360 in³ . . . . the pyramid volume

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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step-by-step explanation: