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Answer:
The length of the edge of the container is 5 centimeters
Step-by-step explanation:
The volume of a cube is V = L³, where L is the length of its side
∵ The side of the small cube is 1 centimeter
→ By using the rule above
∴ The volume of the small cube = (1)³ = 1 cm³
∵ Mario uses 125 small cubes to make the container in the shape of a cube
→ Multiply the number of the small cubes by the volume of each cube to
get the volume of the container
∴ The volume of the container = 125 × 1 = 125 cm³
→ Use the rule of the volume above to find the length of the side
of the container
∵ V = 125 cm³
∴ 125 = L³
→ Take cube root to both sides to find L
∵ =
∴ 5 = L
∴ The length of the edge of the container is 5 centimeters
Answer:
Step-by-step explanation:
Given:
To determine the equation of the line, we will use point slope form.
<u>Formula of point slope form:</u>
- → y - y₁ = m(x - x₁)
Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.
Substitute the coordinates and the slope:
Simplify the R.H.S:
Add 1 both sides:
Simplify the equation:
<u>Graphing the line on a coordinate plane:</u>
In this case, we are already given a point (3, 1). We can simply plot the y-intercept on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.
Graph attached**
