Use the distance formula to find the length of cd
1. c (16, 7) and d (12, -3)
2. c (4, 1) and d ( -8, -6)

1. sqrt(116)

2. sqrt(193)

Step-by-step explanation:

For a point A(x1,y1) and B(x2,y2), the length of AB by the distance formula is sqrt((x2-x1)^2 + (y2-y1)^2).

So in 1. we have A as C and B as D.

So the length of CD is

sqrt((12-16)^2 + (-3-7)^2)

sqrt(16 + 100)

sqrt(116)

In 2. the same thing

The length of CD is

sqrt((-8 -4)^2 + (-6-1)^2)

sqrt(144 + 49)

sqrt(193)

Step-by-step explanation:

Part A: The length of the prism is = feet

Width = 1 foot

Height = feet

So, volume of the prism = length x width x height

V = = cubic feet.

The lengths of the sides of a small cube are = foot

Volume of cube = side x side x side

V = = cubic foot

Number of small cubes that can be packed in the prism =

=

= = 180 cubes

Hence, 180 cubes can be packed into rectangular prism.

Part B: Unit cube volume is 1x1x1 =1 cubic foot

So, 180 cubes will have 180 cubic foot volume.