We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold $216a^3-64b^3=(6a)^3-(4b)^3$ cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that $(6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)$

Therefore, the answer is $\boxed{16(3a-2b)(4a^2+3ab+2b)}$ cubic centimeters and we're done!

6 0

3 years ago

Miles is buying a chair that regularly costs $250. Today the chair is on sale for 30% off. The sales tax of 6% is taken on the s

Ronch [10]

Step-by-step Explanation:

First find out what is the price after 30% off.

250 · 0.3 = 75

250 - 75 = 175

Then find the tax and add it on. Remember to calculate the tax AFTER the discount.

175 · 0.06 = 10.50

175 + 10.50 = 185.50

6 0

2 years ago