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How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?

How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular-example-1
User Cornwell
by
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1 Answer

4 votes

Answer:

15 cubes

Explanation:

The volume of a rectangular prism is given as :

V = Lenght * width * height

V = 3/2 * 5/2 * 1/2

V = 15 / 8 cm³

Volume of a cube = a³

Where, a = side length of cube

a = 1/2 cm

V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8

Volume of pyramid / volume of cube

15 / 8 ÷ 1 / 8

15 / 8 * 8 / 1

= 15

User Rbinsztock
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