Answered

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A right rectangular prism has these dimensions:

Length: Fraction 1 and 1 over 3 units
Width: Fraction 5 over 6 unit
Height: Fraction 2 over 3 unit

How many cubes of side length 1 over 6 unit are required to completely pack the prism without any gap or overlap?

Sagot :

MrRoyal

160 cubes required to completely pack the prism without any gap or overlap

How to determine the number of cubes?

The dimensions of the rectangular prism are given as:

Length = 1 1/3

Width = 5/6

Height = 2/3

The volume is

Volume = Length * Width * Height

This gives

Volume = 1 1/3 * 5/6 * 2/3

Evaluate the product

Volume = 20/27

The side length of the cube is

L = 1/6

The volume of the cube is

V = (1/6)^3

Evaluate

V = 1/216

The number of cubes required to completely pack the prism without any gap or overlap is

n =  (20/27) / (1/216)

Evaluate

n =  160

Hence, 160 cubes required to completely pack the prism without any gap or overlap

Read more about volume at:

https://brainly.com/question/1972490

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