Q1.A man earn $1200 and spends $450 per month.Find ratio of
(a)His income to his expenditure and
(b)His savings to his income
Q2.An open water tank with length 20 cm and width 15 cm holds 4.8 liters of water.calculate the height of the water level tank and the total surface area of he cuboid in the contact with the water.
Q3.A car uses 40 liters of petrol to travel 340 km. how far can it travel if it has only 32 liters of petrol?
Q1: (a) 1200/450 = ?
(b) (1200-450)/1200 = ?
Q2: Water Volume = 20*15*H = 4800 cm^3
Solve for the water height H (in cm)
H = 4800/300 = ___
What is a "he cuboid"? Do you mean the tank area in contact with water? You can certainly do that.
Q3: (32/40)*340 = ___ km
According to Wikipedia, one definition of cuboid is:
".., the word “cuboid” is sometimes used to refer to a shape ... in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this... type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped."
I was taught to call it a rectangular prism.
Q1. To find the ratio of a man's income to his expenditure, divide his income by his expenditure.
(a) Income = $1200
Expenditure = $450
Ratio of income to expenditure = Income / Expenditure
Ratio = $1200 / $450
To simplify the ratio, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 1200 and 450 is 150.
Ratio = $8 / $3
Therefore, the ratio of his income to his expenditure is 8:3.
(b) To find the ratio of his savings to his income, subtract the expenditure from the income (as the savings would be the remaining amount after spending).
Savings = Income - Expenditure
Savings = $1200 - $450
Ratio of savings to income = Savings / Income
Ratio = $750 / $1200
Again, simplify the ratio by dividing both the numerator and denominator by their GCD, which is 150.
Ratio = $5 / $8
Therefore, the ratio of his savings to his income is 5:8.
Q2. To calculate the height of the water level in the tank, we need to convert the volume of water in liters to cubic centimeters (cm³), as the dimensions of the tank are given in centimeters.
Volume of water = 4.8 liters
1 liter = 1000 cubic centimeters
Volume of water in cm³ = 4.8 liters × 1000 cm³/liter
Height of water = Volume of water / (length × width)
Height of water = 4.8 liters × 1000 cm³/liter / (20 cm × 15 cm)
To calculate the total surface area of the cuboid in contact with the water, we need to find the area of the base (length × width) and the area of the four sides (2 × length × height + 2 × width × height).
Total surface area = 2 × (length × width) + 2 × (length × height) + 2 × (width × height)
Total surface area = 2 × (20 cm × 15 cm) + 2 × (20 cm × height) + 2 × (15 cm × height)
Q3. To find the distance a car can travel with a certain amount of petrol, we need to calculate the distance per liter of petrol.
Petrol used = 40 liters
Distance covered = 340 km
Distance per liter = Distance covered / Petrol used
Distance per liter = 340 km / 40 liters
Now, to find how far the car can travel with 32 liters of petrol, we can use the calculated distance per liter.
Distance with 32 liters = Distance per liter × 32 liters
Distance with 32 liters = (340 km / 40 liters) × 32 liters
Simplify the equation and calculate the distance.