Martin is using unit cubes to build a tower in the shape of a rectangular prism. A decripion of the tower is listed the bottom layer is made of 16 unit cubes. the bottom layer shape is in the shape of a square prism. 9 more equal layers of unit cubes are added on the top of the bottom layer. what is the total volume in cubic units of the completed tower

Volume of the completes tower = 160 units³

Step-by-step explanation:

Martin is using unit cubes to build a tower in the shape of rectangular prism.

Bottom layer of the prism is in the square shape.

Since number of unit cubes used in the bottom layer = 16

So, one side of the square base will measure = √16 = 4 units

Therefore, Length = width = 4 units

On this base, additional layers added on the top = 9

Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)

Volume of the tower = Volume of the rectangular prism

                                  = Length × width × height

                                  = 4×4×10

                                  = 160 cubic units.

Volume of the completed tower will be 160 cubic units.

10000

step-by-step explanation: divide by 2,

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)