A cube-shaped box is sitting on the floor.The pressure the box exerts on the floor is 235 Pa.If the density of the box is 21.0 kg/m³,what is the length of each side of the box? A)0.00910 m B)1.14 m C)110 m D)11.2 m

Question

Quizplus · Accepted Answer

We can use the formula for pressure:

Pressure = Force/Area

In this case, the force is the weight of the box and the area is the surface area of the bottom of the box.

The weight of the box can be found using the density formula:

Density = Mass/Volume

Solving for mass, we get:

Mass = Density x Volume

Since the box is cubical, the volume is:

Volume = (Length of side)^3

Putting this all together:

Pressure = (Density x Volume x Gravity)/Area

235 Pa = (21.0 kg/m^3 x (Length of side)^3 x 9.81 m/s^2)/(Length of side)^2

Solving for the length of side, we get:

Length of side = (√(21.0 kg/m^3 x 9.81 m/s^2 / 235 Pa)) = 1.14 m

Therefore, the answer is B: 1.14 m.

A Cube-Shaped Box Is Sitting on the Floor