V= s^3
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3
Answer:
<h2>21/32</h2>
Step-by-step explanation:
-7/8 × -3/4 = 21/32
-7 × -3 = 21
-8 × -4 = 32
21/32
<u><em>IMPORTANT: This number is not negative, because a negative times a negative is a positive.</em></u>
By the way, if you didn't know how to arrive at the fraction here's how.
First, Address input parameters & values.
Input parameters & values: The decimal number = 0.65625. Then, write it as a fraction
0.65625/1
Multiply by 100000 both the numerator & denominator
(0.65625 x 100000)/(1 x 100000) = 65625/100000
65.625% = 65.625/100 or 65625/100000
Find LCM (Least Common Multiple) for 65625 & 100000.
3125 is the LCM for 65625 & 100000
Divide by 3125
65625/100000 = (65625 / 3125) / (100000 / 3125)
= 21/32
I'm always happy to help :)
The content of care package would be a board game and several snack packs.
Given is the weight of board game = 4 pounds.
The weight of one snack pack = 
The total weight would be less than 25 pounds.
Solving for part A :
Let 'x' represents the number of snack packs.
So the weight of all snack packs would be 0.5x pounds.
Now weight of care pack = weight of board game + weight of all snack packs.
weight of care pack = 4 + 0.5x
But total weight must be less than 25 pounds.
So the inequality would be: 4 + 0.5x < 25
Solving for part B :
Solving the inequality 4 + 0.5x < 25
⇒ 4 + 0.5x - 4 < 25 - 4
⇒ 0.5x < 21
⇒ x < 42
Solving for part C :
Since x < 42 and x is an integer number, so x = 41.
She can include maximum of 41 snack packs in the care package.
Here is the equation 48/7=60/x, 48÷7=6.8571428571. Now we know that every one meter in real life is equal to 6.8571428571 millimeters so, 60÷6.8571428571= 8.75 meters.
The living room is 8.75 meters
Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
