Arectangular prism has a length of 12 in a width of 5 in and a height of 4 and 1/4 in the prism is filled with cubes that have edge length of fourth of an inch how many cubes need to fill the rectangular prism

The number of cubes = 11520 cubes

Step-by-step explanation:

∵ The length = 12 , width = 5 and height = 4

∴ The volume = 12 × 5 × 4 = 240 in³

∵ The length of the cube = 1/4 in

∴ The volume of cube = (1/4)³ = 1/64 in³

∵ 1/4 of the prism is filled

∴ 3/4 doesn't fill

∴ The empty volume = 3/4 × 240 = 180 in³

∴ The number of cubes = 180 ÷ 1/64 = 11520 cubes

21.4 i did it already for s1

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1