Aright rectangular prism's edge lengths are 4 1 2 inches, 4 inches, and 3 inches. how many unit cubes with edge lengths of 1 3 inch can fit inside the prism?

Question:

A right rectangular prism's edge lengths are   inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of inch can fit inside the prism?

1458 cubes with edge lengths of   inch can fit inside the prism.

Step-by-step explanation:

Given:

Dimensions of the rectangular prism = inches, 4 inches, and 3 inches

length of  Edge of the cube =

To Find:

Number of unit cubes that can fit inside the prism =?

Solution:

Step 1: Finding the volume of the right rectangular prism

Volume of the right Rectangular prism is =

where

w = width of theright Rectangular prism

h = height of the right Rectangular prism

l = lenght of the right Rectangular prism

Substituting the values ,

Volume of the right Rectangular prism is =

Volume of the right Rectangular prism is =

Volume of the right Rectangular prism is =

Volume of the right Rectangular prism is = 54

Step 2: Finding the volume of the cube

Volume of the cube =

Substituting the  values,

Volume of the cube =

Volume of the cube =

Step 3: Find the number of cube that can fit in the cube.

Number of  cubes =

Number of  cubes =

Number of  cubes =

Number of  cubes  =  1458 cubes

d

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: