How many cubes are needed to fill in the rectangular prism?

8320 cubes can fit into the prism.

Solution:

Convert mixed fraction into improper fraction.

Length of the prism = 20 in

Width of the prism = 2 in

Height of the prism = in

Volume of the prism = length × width × height

                                 = 130 in³

Volume of the prism = 130 in³

Length of the cube = in

Volume of the cube = length × length × length

Volume of the cube = 0.015625 in³

                            = 8320

Number of cubes = 8320

Hence 8320 cubes can fit into the prism.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4