The volume of a rectangular prism varies jointly with the length and width of the figure when the height remains constant. the volume of a rectangular prism is 672 cubic centimeters. the figure has a length of 8 centimeters and a width of 14 centimeters. a second prism has a length of 12 centimeters and a width of 8 centimeters. what is the volume of the second prism? 576 cubic centimeters 768 cubic centimeters 784 cubic centimeters 1,344 cubic centimeters

1st Prism = 8*14 = 112

672/112 = 6

2nd prism = 8*12=96

96*6 = 576 cubic cm

 answer is 576 cubic centimeters

The correct option is 1.

Step-by-step explanation:

The volume of a rectangular prism varies jointly with the length and width of the figure when the height remains constant.

Let the height of both rectangular prism be h cm.

The volume of a prism is

Where, l is length, b is breadth or width and h is height.

The volume of a rectangular prism is 672 cubic centimeters. The figure has a length of 8 centimeters and a width of 14 centimeters.

Divide both sides by 112.

The value of h is 6 cm. It means the height of both prism is 6 cm.

A second prism has a length of 12 centimeters and a width of 8 centimeters.  So, the volume of second prism is

The volume of second prism is 576 cubic centimeters. Therefore the correct option is 1.

y=mx+b

step-by-step explanation:

m slope, b y-intercept

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.