
The dimensions of a car petrol tank are 50 cm × 32 cm × 24 cm, which is full of petrol. If a car's average consumption is 15 km per liter, find the maximum distance that can be covered by the car.
A) 576 km
B) 500 km
C) 543 km
D) 567 km
Answer
584.7k+ views
Hint:
First find the volume of the tank using the dimension and then the total distance will be average consumption multiplied by volume of the tank in liters. Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth. If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.
Complete step by step solution:
Dimension of tank are given as 50 cm × 32 cm × 24 cm
Volume of tank = 50 ×32 ×24 = 38400 cm3
We know, 1 liter = 1000 cm3
Volume of tank $ = \dfrac{{38400}}{{1000}} = 38.4L$
Now, total distance can be calculated as product of average consumption and volume of tank
So, total distance = average consumption × volume of tank
= 15 × 38.4
= 576 km/l
So, option (A) is correct.
Note:
First finding the volume and then calculation of total distance using average consumption is required to solve this type of question. You can measure from the inside of the tank or, if preferable, measure the outside and then subtract the width of the tank walls to determine the inside measurement. Next, multiply the length, width and depth measurements in order to find the cubic volume in cubic inches.
First find the volume of the tank using the dimension and then the total distance will be average consumption multiplied by volume of the tank in liters. Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth. If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.
Complete step by step solution:
Dimension of tank are given as 50 cm × 32 cm × 24 cm
Volume of tank = 50 ×32 ×24 = 38400 cm3
We know, 1 liter = 1000 cm3
Volume of tank $ = \dfrac{{38400}}{{1000}} = 38.4L$
Now, total distance can be calculated as product of average consumption and volume of tank
So, total distance = average consumption × volume of tank
= 15 × 38.4
= 576 km/l
So, option (A) is correct.
Note:
First finding the volume and then calculation of total distance using average consumption is required to solve this type of question. You can measure from the inside of the tank or, if preferable, measure the outside and then subtract the width of the tank walls to determine the inside measurement. Next, multiply the length, width and depth measurements in order to find the cubic volume in cubic inches.
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