The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cubic inches?
|A|(9/3⋅6/3⋅6/3) in.^3 = 12 in.^3
|B|(3/3⋅2/3⋅3/3) in.^3 = 2/3 in^.3
|C|(3 1/3⋅2 1/3⋅3 1/3) in.^3=25 25/27 in.^3
|D|(3⋅2⋅3) in.^3=18 in.^3

Option B

Step-by-step explanation:

step 1

Find the number of cubes in the prism

step 2

Find the volume of one cube

The volume of one cube is equal to

where

b is the length side of the cube

we have

substitute

step 3

To find out the volume of the prism , multiply the volume of one cube by the number of cubes

so

simplify

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204