Arectangle with a 3-inch length and a 6-inch width is translated a distance of 10 inches perpendicular to the plane it is in. if copies of the rectangle are left along the path of the translation, what 3-dimensional figure is formed, and what is its volume? a. pyramid; v=60 in b. pyramid; v= 180in c. prism; v= 180 in d. prism; v= 60 in

Prism; V=180 in.

Step-by-step explanation:

Volume= Length * Width * Height

V= 3*6*10

V=180in^3

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.