The company is building a scale model of the theater’s main show tank for an investor's presentation. each dimension will be made 1/8th of the original dimension to accommodate the mock-up in the presentation room. what is the volume of the smaller mock-up tank?

main tank: 359,006.6675

The volume of the smaller mock-up tank would be 701.1849

Step-by-step explanation:

The company is building a scale model of the theater's main show tank for an investor's presentation.

Each dimension of the mock up tank will be made th of the original dimension.

So scale factor will be = of each dimension of the theater.

We have to calculate the volume of smaller mock-up tank.

Since volume is a three dimensional unit means

Volume = Length × Width × height

So by scale factor volume of smaller mock-up tank will be = (original length) × (original width) × ( original height)

= ³ (volume of original theater)

= × (359,006.6675)

= 701.1849

The volume of the smaller mock-up tank would be 701.1849

can you rephrase the question ? it is unclear : -)

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)