Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
100ml u see 20% of 100 is 20 20% of 1000 is 200 so divide 200/2 =100
(8/9-3/9)*2/3=5/9*2/3=10/27
Answer:
Step-by-step explanation:
If a boat has the speed = 15 miles per hour
Let the speed of the river = v miles per hour
If the boat is moving down stream, that means boat is traveling with the stream of the river.
So the speed of the boat downstream = (15 + v) miles per hour
Since, speed of the river stream is added with the speed of the boat, it will reach the destination earlier than the expectation.
Pour 4 times of 124-gallon into a big jug.
Amount of water = 124 x 4 = 496 gallons
Then use the 45-gallon jug to scoop out the water 11 times.
Amount of water scooped out = 11 x 45 = 455 gallons
Water remaining = 496 - 450 = 1 gallon.
