Answer:
Step-by-step explanation:
______________
Volume=legnth times width times height
legnth=8
width=5
height=4
volume=8 times 5 times 4=160
volume is 160 cubic inches or 160 in^3
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:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to 
liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to 
liters. .........(2)
from (1) and (2),
⇒ 
Solving for x, we get,
⇒ 
⇒ 
Approximately x = 8
Thus, the value of x is 8 gallon.
4500÷.15= 30,000
30,000+4500=$34,500 salary
