A cube and a square based pyramid exert the same pressure on the ground. The square of the pyramids base has a side length of 8m and weight of 440N. The cube has a weight of 110N. What is the side length of the cube?
Answers
Answer:Accordingto me it will be 2
Explanation:we change the weight to force by multiplying the weights by 10then we say 8800divide by 4400 is equal to 8divide by x and x will be 2
Answer:
Side Length = 4 meters
Explanation:
- Data:-
Pressure exerted by the Cube and Square-based Pyramid: Same
Side Length of the Square Base of Pyramid: 8 metres
Weight/Force of the Pyramid: 440 N
Weight/Force of the Cube: 110 N
- Base Area of Pyramid:-
Square Area = Length × Length OR L^2
Square Area = 8 m × 8 m
Square Area = 64 m^2
- Pressure Exerted by Pyramid:-
Pressure = Force/Area
Pressure = 440 N/64 m^2
Pressure = 6.875 N/m^2
- Pressure Exerted by Cube = 6.875 N/m^2
- Base Area of Cube:-
Area = Force/Pressure
Area = 110 N/6.875 N/m^2
Area = 16 m^2
- Side Length of the Square Base of Cube:-
Formula of Area of Square = Length^2
Area = 16 m^2
L^2 = 16
√L^2 = √16
Side Length = 4 meters