Question

A right rectangular prism has these dimensions: Length: Fraction 1 and 1 over 2 units Width: Fraction 1 over 2 unit Height: Fraction 3 over 4 unit How many cubes of side length Fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap?

Answer 1

Answer:

36.

Step-by-step explanation:

Volume of prism = (1 + 1/2) (1/2) (3/4) = (3/2) (1/2) (3/4) = (9/16) units^3.

Volume of one cube = (1/4)^3 = 1/64 units^3.

So,

(9/16) / (1/64)

= (9/16) × 64

= 9 × 4

= 36.

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