Question

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.

Which expression represents the volume of the prism, in cubic units?

x3 + 9
x3 + 3x2
x3 + 3x + 3
x3 + 6x2 + 9x

Answer 1

Answer:

B. x^3 + 3x^2

Step-by-step explanation:

Volume of a rectangular prism=width * length * height

V=w*l*h

h=3 greater than the length of the base

h=x+3

Length of the base=x

Width=x

Substituting values into the formula

V=w*l*h

=(x)*(x)*(x+3)

Multiplying

=(x^2)(x+3)

=x^3 + 3x^2

Option B is the correct answer

Answer 2

The expression $x^3 + 3x^2$  represents the volume of the prism, in cubic units.

We have given that the,

The height of a right rectangular prism is 3 units greater than the length of the base.

The edge length of the square base is x units.

What is the volume of rectangular prism?

$Volume of a rectangular prism=width * length * height$

$V=w*l*h$ ......(1)

We have given that the

h=3 greater than the length of the base

and length of the base is x

Hence, $h=x+3$

$Length of the base=x$

$Width=x$

Substituting values l h and w into the formula (1) we get,

$V=w*l*h$

$=(x)*(x)*(x+3)$

$=(x^2)(x+3)$

$=x^3 + 3x^2$

Therefore the expression  

$x^3 + 3x^2$  

represents the volume of the prism, in cubic units.

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