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:
7/40 feet
Step-by-step explanation:
Solve using proportions:

Find the scale factor by dividing the numerators 25 by 1/8.
25 ÷ 1/8 = 200 This is the common ratio
To get from the top left number to the top right number, you divide 25 by 200.
To get from the bottom left number to the bottom right number, you divide 35 by 200.
35 ÷ 200 = 0.175
1/8 of an inch represents 0.175 feet.
To find 0.175 in fraction form, reduce 35/200 to its lowest terms.
35/200 = 7/40
1/8 of an inch represents 7/40 feet.
The third one is correcte
40 x 10 = 400
400 / 100 = 4
Mai has 4 hundreds.
Point? I'm pretty sure or the origin point