An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is 15 stories high. If all of the modules were divided evenly among the number of stories, how many modules would be on each floor? How many different rectangular prisms could be made from that number? If all of the modules were divided evenly there would be modules on each floor. different rectangular prisms could be made from the number of modules on each floor: × 1 × 1 and 2 × × 1.

Part 1. 10 modules per floor

Part 2. Two different rectangular prism

Step-by-step explanation:

Let

x > the number of modules

y ---> the number of stories

we have

x=150\ modules\\y=15\ stories

Divide the number of modules by the number of stories

so

\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: