Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
Answer:
Step-by-step explanation:
we know that
The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5
3(x-5)
The phrase "the product of six and x" means the number 6 multiplied by x
6x
therefore
The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x
First rectangle:
Has 3 cubes in each 5 layers, and imagine it, so we have all dimension needed which is:
l=3 unit
w=1 unit
h=5 unit.
V=l×w×h
V=3×1×5
V=15 cubic inches.
Second rectangular:
Doing the same like that to get:
l=5 unit
w=1 unit
h=3 unit
V=15 cubic inches. As a result, there are no prism that are greater to each other, which mean that they have the same volume of 15 cubic inches. Hope it help!
Answer:
y < 4
Step-by-step explanation:
Since the line is dotted, it will be either greater than or less than depending on if it is shaded above or below. It's "y" because the line crosses the y axis, not the x axis.
