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50+ PTS PLEASE HELP WILL GIVE BRAINLIEST A right rectangular prism has these dimensions: Length: 1 1/4 units. Width: 5/8 unit. Height: 3/4 unit. How many unit cubes of side length 1/8 unit are required to pack the prism without any gap or overlap? 60 75 150 300

Respuesta :

banda103360

Answer:

Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160

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Step-by-step explanation:

musiclover10045

Volume of prism = l x w x h

Volume of right rectangular prism = 1 1/4 x 5/8 x 3/4 = 75/128

Volume of cube = s^3

= 1/8^3 = 1/512

Total cubes = volume of prism / volume of cube

Total cubes = 75/128 / 1/512

Total cubes = 300

The answer is 300

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