Question

AAH please answer I need to finish this

The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?

Using the information from #4, answer the following question by filling in the blank: The volume of the actual tank is ____% of the mock-up of the tank

If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?

Answer 1

The volume of the mock-up tank is 6 times smaller than the actual tank. This means that the volume of the mock-up tank is 1/6th (or 16.67%) of the volume of the actual tank.

To understand this, let's consider an example.

Suppose the actual tank has a volume of 100 cubic units. If we make each dimension 6 times smaller, the dimensions of the mock-up tank would be 1/6th of the actual tank. This means the volume of the mock-up tank would be (1/6)^3 = 1/216 of the volume of the actual tank.

To find the percentage, we divide the volume of the mock-up tank by the volume of the actual tank and multiply by 100:

(1/216) * 100 = 0.463% (rounded to three decimal places).

So, the volume of the actual tank is approximately 0.463% of the volume of the mock-up tank.

Now, let's move on to the second question.

If you were to take a cross section parallel to the base of one of the holding tanks, the shape would be rectangular. Since the tank is described as a "holding tank," it is likely to have a rectangular shape with a flat base and vertical sides.

I hope this helps! Let me know if you have any further questions.