help me I need some help in math

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OsazeF19878 OsazeF19878

03-11-2022
Mathematics

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help me I need some help in math

Sagot :

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HemingwayP419813 HemingwayP419813 · Answer 1 · 2022-11-03T22:58:35-04:00

ANSWER

D. 40/27 cubic in

EXPLANATION

The volume of one cube is:

[tex]V_{\text{cube}}=\mleft(\frac{1}{3}\mright)^3=\frac{1}{27}in^3[/tex]

We can see that in the orange side of the prism there are 20 squares, so there are 20 cubes. There's another row of cubes, so in total, this prism has 40 cubes. The volume of the prism is 40 times the volume of a cube:

[tex]V_{\text{prism}}=40\cdot\frac{1}{27}=\frac{40}{27}in^3[/tex]

Sagot :

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