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The volume of a rectangular prism is found by multiplying the length, width, and height of the prism. A rectangular prism has a width of 5x^2units, a length of 7x^3 units and a height of 2x^4 units. Which is the volume of the prism in terms of x?

Respuesta :

gmany

Answer:

V = 70x⁹ cubic units

Step-by-step explanation:

The formula of a volume of a rectangular prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have:

[tex]l=7x^3,\ w=5x^2,\ h=2x^4[/tex]

Substitute:

[tex]V=(7x^3)(5x^2)(2x^4)=(7\cdot5\cdot2)(x^3x^2x^4)=70x^{3+2+4}=70x^9[/tex]

Used

[tex]a^n\cdot a^m=a^{n+m}[/tex]

sabasayed

Answer:

A prism has a length of 4 units, height of 2 units, and width of 3 units.

Complete each statement about the prism.

The length of the prism is  

✔ 4

units.

The width of the prism is  

✔ 3

units.

The height of the prism is  

✔ 2

units.

Step-by-step explanation: