The base of a rectangular prism has an area of 12 square cm. The height of the rectangular prism is 3. What is the volume in cubic cm of this rectangular prism

volume = 36 cm³

Step-by-step explanation:

The volume of a rectangular prism = lwh

where

w = width

l = length

h = height

The base of a rectangular prism is a rectangle and the area of a rectangle is the product of length and width. Therefore,

base area of the rectangular prism = length × width

base area = lw

Base area of the rectangular prism =  12 cm²

Recall, the formula of the volume of a rectangular prism is the product of the length, width and height.

volume  = lwh

substitute lw value in the formula above

volume = 12 × 3

volume = 36 cm³

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1