Arectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3
how many 1/3 unit cubes does it take to fill the prism?

135 cubes

Step-by-step explanation:

step 1

Find the volume of one cube

we know that

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

step 2

Find out how many 1/3 unit cubes does it take to fill the prism

Divide the volume of the prism by the volume of one cube    

so

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.