Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
The volume of a cuboid is:
Where, l is length, w is width and h is height.
Putting 
, we get
Divide both sides by 2.
Taking cube root on both sides.
![\sqrt[3]{1000}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%3Dx)
Now, the height of the container is:
Therefore, the height of the container is 20 cm.
Answer: y = 2x/3 - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.
The given line has a slope of 2/3 and it passes through (0,- 5)
To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes
- 5 = 3/2 × 0 + c
c = - 5
The equation becomes
y = 2x/3 - 5
Answer:
D. y = 1.5x +5
Step-by-step explanation:
The offered answer choices are equations in slope-intercept form. The constant in the equation is the y-intercept, the value of distance when time is zero.
y = mx +b . . . . m is slope; b is y-intercept
__
The table tells you that the distance value is 5 when the time value is 0. In the equation, that means ...
b = 5
Only one answer choice matches:
y = 1.5x +5
