Question

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?

Answer 1

$\large\bf{\underline\orange{Answer \:↝}}$

Volume Prism = (1 + 1/2) (1/2) (3/4) = (3/2) (1/2) (3/4) = (9/16) units³

Volume of one cube = (1/4)³ = 1/64 units³

So,

(9/16) / (1/64)

(9/16) × (64/1)

(64/16) (9/1)

4 × 9 = 36

Answer 2

$\huge\bf{\underline\red{Answer \: ⇝}}$

Volume Prism = (1 + 1/2) (1/2) (3/4) = (3/2)

(1/2) (3/4) = (9/16) units³

Volume of one cube = (1/4)³ = 1/64 units³

So,

(9/16) / (1/64)

(9/16) × (64/1)

(64/16) (9/1)

4 × 9 = 36