The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.
What is the Volume of a Cube?
Volume = a³, where a is the side length.
What is the Volume of a Rectangular Prism?
Volume = lwh
Given the following:
- a = ⅓ cm
- l = 4/2 cm = 1/2 cm
- w = 2/2 cm = 1 cm
- h = 3/2 cm
Volume of the rectangular prism = (1/2)(1)(3/2)
Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³
Volume of the cube = (⅓)³ = 0.037 cm³
Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.
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