1. The dimensions of the tank should be 20 by 20 by 20. The hint is telling you that a tank that is 2 by 2 by 2 has a volume of 8, so, if you increase the size of the dimensions, you can reach 8,000 with the same digit of 2. Don't forget that the formula for the volume of a rectangular prism is lwh.
2. Since our aquarium is a square tank that is 20 by 20 by 20, each side on the top is 20 inches long. We have 4 sides, so the perimeter is 4 x 20, or 80. The perimeter of the top of our tank is 80 in². As for the base, we already know that each side is 20, so, in order to find the area of the base, we just multiply 20 x 20 to get 400. The area of the base of the tank is 400 in².
3. Another rectangular prism with a volume of 8,000 might have dimensions of 40 by 20 by 10. These, multiplied together, equal 8,000, using the formula for the volume of a rectangular prism.
To find the dimensions of the rectangular prism that equal 8,000, I mostly just use trial and error. It helps if you think about it as 8, as shown in the first problem, or if you list the factors of 8. For instance, for number 3, I just used the factors of 8 to find some possible dimensions.
8 - 1, 2, 4, 8
For number 3, I used the factors 1, 2, and 4. To change it from 8 to 8,000, I just changed 1 to 10, 2 to 20, and 4 to 40.
Hope this helps!
if indeed the QT || RS, that simply means that QT is the midsegment of ∡PRS, but that also means that the corresponding sides of the small triangle ∡PQT and the larger one ∡PRS are in a proportion, meaning
I’m pretty sure the answer is 1,108.8 if it’s wrong my bad
Answer: The larger integer is 42 and the smaller integer is 14
Step-by-step explanation:
14 x 2 + 14 = 42
42 + 14 = 56
What 2 numbers multiply to 14 and add to -9?
-7 and -2
(y-7)(y-2)=0
set to zero
y-7=0
y=7
y-2=0
y=2
y=2 or 7
