Answer:
Volume of one cube shaped block is, 0.125 cubic feet
Step-by-step explanation:
Volume of a cube(V) is given by:
.....[1]
where a is the edge length of the cube.
As per the statement:
Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.
⇒
It is also given that:
The edge length of each block is 1/5 the edge length of the storage container
⇒
Substitute this in [1] we have;
Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125
The volume of the cube-shaped block = (0.5)³ = 0.125 ft³.
Volume of Cube = (edge length of cube)³.
We are given that the edge length of the cube-shaped block is 1/5 of the edge length of the storage container, 2 1/2 ft (2.5 ft).
Therefore, the edge length of the cube-shaped block would be:
1/5 × 2.5 = 0.5 ft.
Volume of the cube-shaped block = (0.5)³ = 0.125 ft³.
Learn more about volume of a cube on:
2. Every whole number is an integer
3. Every integer is a whole number
4. The smallest Whole number is 0
5. The smallest natural number is 0
6. Every rational number can be expressed as a repeating decimal.
7. Every repeating decimal is a rational number
8. If a and b are integers, then a/b is a rational number
An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
Open bracket
Collect like terms
Evaluate like terms
Divide both sided by 4
The above equation is true for x = 7
This means that: the equation has one solution.
Read more about equation solutions at:
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
Answer:
Step-by-step explanation:
(-10,14) and (-6,12)
y2 = 12, y1 = 14, x2 = -6, x1 = -10
Slope m = (y2 - y1)/(x2 - x1)
m = (12 - 14)/(-6 + 10)
m = -2/4
m = -1/2
The equation of line
y - y1 = m(x - x1)
y - 14 = -1/2(x + 10)
y - 14 = -x/2 - 5
y = -x/2 - 5 + 14
y = -x/2 + 9