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20 votes
20 votes
How many cubes of side length Fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap?

User SamPutnam
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2 Answers

19 votes
19 votes

Answer: 36

Step-by-step explanation: you have to think so like this 1 over 4 is 0.25 so what is 1÷4=0.25 so what 1 ÷ 0.25= 4

4 ÷0.25 = 16 so add all what say up answer is 36

User Jvdneste
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3.1k points
21 votes
21 votes

Answer:

36 cubes

Explanation:

Dimension of rectangular prism :

Length: Fraction 1 and 1 over 2 units,

Width: Fraction 1 over 2 unit

Height: Fraction 3 over 4 unit

Volume of rectangular prism, V = Length * width * height

V = 1 1/2 * 1/2 * 3/4

V = 3/2 * 1/2 * 3/4 = 9 / 16 unit³

Volume of cube :

Side length of cube, s = 1/4

Volume, V = s³ = (1/4 * 1/4 * 1/4) = 1/64 units

Number cubes required :

9/16 ÷ 1/64

9/16 * 64/1 = 576 / 16 = 36

36 cubes are required.

User Jpgeek
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3.1k points