Find expressions for the possible dimensions of the rectangular prism.
V=5y3 = 37y2 + 14y
The possible dimensions of the rectangular prism are
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Аноним Аноним · Answer 1 · 2019-06-23T10:41:41+02:00

Answer:

The possible dimensions are y, 5y + 2 and y + 7.

Step-by-step explanation:

V = 5y^3 + 37y^2 + 14 y

y is common to all 3 terms so

V = y(5y^2 + 37y + 14)

V = y (5y + 2)(y + 7)

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-03T16:35:30+02:00

The expressions for the possible dimensions of the rectangular prism.

[tex]V = 5y^3 + 37y^2 + 14 y[/tex]. The possible dimensions are y, 5y + 2, and y + 7.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,

then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

The given expressions for the possible dimensions of the rectangular prism.

[tex]V = 5y^3 + 37y^2 + 14 y[/tex]

y is common to all 3 terms

so,

[tex]V = y(5y^2 + 37y + 14)\\V = y (5y + 2)(y + 7)[/tex]

By the comparison of the volume

[tex]V = a\times b \times c \: \: unit^3[/tex]

Therefore, the dimensions are a = y, b = 5y + 2, c = y + 7.

Learn more about the volume of a right rectangular prism here:

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