Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Answer:
5 hours
Step-by-step explanation:
First, add the miles together
Next, divide 65 into the sum of 227.5 and 97.5(which is 325)
Answer:
8
Step-by-step explanation:
The numbers are 6 and 2x, then:
- 1/6 + 1/(2x) = 7/24
- 1/3 + 1/x = 7/12
- (x+3)/(3x) = 7/12
- 12(x+3) = 7*3x
- 12x + 36 = 21x
- 21x - 12x = 36
- 9x = 36
- x = 4
The other number is 2*4 = 8
1. 10x+6=8-2(x+6)
2. 10x+6=6(x+6)
(distribute the 6)
3. 10x+6=6x+36
(Move the 6x to the other side by subtracting)
4. 4x+6=36
(Move the 6 to the other side by subtracting)
5. 4x=30
(divide)
x=7.5
Hope this helped! :)
