Length: 1 and 1 over 3 feet width: 1 foot height: 2 and 1 over 3feet the lengths of the sides of a small cube are 1 over 3 foot each. part a: how many small cubes can be packed in the rectangular prism? show your work. (5 points) part b: use the answer obtained in part a to find the volume of the rectangular prism in terms of the small cube and a unit cube

Part A: 126 cubes can be packed in rectangular Prism.

Part B: The Volume is 126 cubic foot.

Step-by-step explanation:

Given:

Length of Prism =

can be Rewritten as

Length of Prism =

Width of Prism = 1 feet

Height of Prism =

can be rewritten as  

Height of Prism =

Now First we will find the Volume of Rectangular Prism.

Volume of Rectangular Prism is equal to length times width times height.

framing the equation we get;

Volume of Rectangular Prism =

Also Given:

Length Sides of cube =  

Now we will find the volume of cube.

Volume of cube is given by cubing all sides.

Volume of cube =

Volume of cube =

Part A:

We need to find Number of Small Cubes can be packed in the rectangular prism.

Number of Small Cubes can be packed in the rectangular prism is equal To Volume of Prism Divided by Volume of Cubes.

framing in equation form we get;

Number of Small Cubes can be packed in the rectangular prism =

Hence 126 cubes can be packed in rectangular Prism.

Part B:

Given:

Unit cube volume = 1 cubic foot

Volume of Small Cubes =  

Hence The Volume is 126 cubic foot.

h

step-by-step explanation: