Question

The dimensions of a car petrol tank are \[50{\rm{cm}} \times 32{\rm{cm}} \times 24{\rm{cm}}\], which is full of petrol. If a car's average consumption is 15km per liter, find the maximum distance that can be covered by the car.
A) 506km
B) 500km
C) 570km
D) 576km

Answer 1

Hint:
Here, in this question we have to find out the distance that can be covered by the car. So, to find out the distance that can be covered by the car, firstly we have to find out the total volume of the car petrol tank. Then we have to convert the volume of the car petrol tank from cubic units to liters of petrol. Then multiplying this total liter of petrol in the car petrol tank with the car’s average consumption will give us the distance that can be covered by the car.

Complete step by step solution:
Given dimensions of the car petrol tank are\[50{\rm{cm}} \times 32{\rm{cm}} \times 24{\rm{cm}}\].
Now, calculating the total volume of the car petrol tank \[ = 50{\rm{cm}} \times 32{\rm{cm}} \times 24{\rm{cm = 38400c}}{{\rm{m}}^3}\]
Therefore, total volume of the car petrol tank \[{\rm{ = 38400c}}{{\rm{m}}^3}\]
Now we have to convert the volume of the car petrol tank from cubic unit to liters and we know that
\[1{\rm{ litre = 1000c}}{{\rm{m}}^3}\]
Therefore, total liters of petrol in the car petrol tank \[{\rm{ = }}\dfrac{{{\rm{38400}}}}{{1000}}{\rm{ = 38}}{\rm{.4 lt}}\]
Now, we have to multiply this total liter of petrol in the car petrol tank with the car’s average consumption to get the distance that can be covered by the car.
It is given that a car's average consumption is 15km per liter.
Therefore, Distance that can be covered by the car \[{\rm{ = 38}}{\rm{.4}} \times {\rm{15 = 576km}}\]

Hence, 576km distance that can be covered by the car.
So, option D is correct.

Note:
Surface area is the sum of all the areas of the faces of an object or shape and Surface area is generally measured in square units. Volume is the amount of space occupied by an object in three-dimensional space. Volume is generally measured in cubic units. We should know the conversion of the cubic units into the liter or conversion of liters into the cubic units.
Volume of the cuboid\[{\rm{ = L}} \times {\rm{B}} \times {\rm{H}}\] where, L is the length, B is the breadth, H is the height of the cuboid.