Plastic block A has a mass of 1.2kg. Plastic block B is made from plastic with a density 40% greater than the plastic block. Work out the mass of the plastic cube. Plastic block A is 20cm by 10cm by by 5cm. Cube is 6cm. Is it
6×6×6=216
216 ×1.4
density of A: 1.2kg/(20*10*5)cm^3 = 1.2/1000 = 0.0012 kg/cm^3 = 1.2 g/cm^3
Block B is 6cm on a side, with a density of 1.2*1.4 = 1.68 g/cm^3
So, its mass is
1.68 g/cm^3 * 216cm^3 = 362.88 g = 0.36 kg
To calculate the mass of the plastic cube, we first need to calculate the volume of the cube.
Volume of the cube = length × width × height = 6 cm × 6 cm × 6 cm = 216 cm^3
Now, we know that Plastic block A has a density of 1.2 kg and its dimensions are 20 cm × 10 cm × 5 cm.
Volume of Plastic block A = length × width × height = 20 cm × 10 cm × 5 cm = 1000 cm^3
Now, since the density of Plastic block B is 40% greater than the density of Plastic block A, we can calculate the density of Plastic block B:
Density of Plastic block B = Density of Plastic block A + 40% of Density of Plastic block A
= 1.2 kg + 0.4 × 1.2 kg
= 1.2 kg + 0.48 kg
= 1.68 kg
Now, we can calculate the mass of the Plastic cube:
Mass = Density × Volume
= 1.68 kg/cm^3 × 216 cm^3
= 362.88 kg
Therefore, the mass of the plastic cube is approximately 362.88 kg.
To find the mass of the plastic cube, we first need to calculate the volume of the cube.
The volume of a cube is given by the formula: side length x side length x side length (or s^3).
So, the volume of the cube is: 6cm x 6cm x 6cm = 216cm^3.
Now, we need to calculate the mass of the plastic block A.
The formula to find the mass of an object is: density x volume.
The density of block A is not given, so we need to find it first.
Density is calculated by dividing mass by volume: density = mass/volume.
Given that block A has a density 40% greater than block B, we can say that:
density of block A = density of block B + 40% of the density of block B.
Let's assume the density of block B is "x".
So, density of block A = x + (40/100)x = 1.4x.
Now, we can calculate the mass of block A:
mass of block A = density of block A x volume of block A.
mass of block A = 1.4x x 20cm x 10cm x 5cm.
Given that mass of block A is 1.2kg, we can set up an equation:
1.2kg = 1.4x x 20cm x 10cm x 5cm.
Now, we can solve for 'x' to get the density of block B.
0.12kg = 1.4x x 1000cm^3.
Dividing both sides by 1400:
0.12kg/1400 = x x 1000cm^3/1400.
0.000086kg/cm^3 = x x 0.714cm^3.
Dividing both sides by 0.714:
0.000086kg/cm^3 / 0.714cm^3 = x.
x = 0.000120125kg/cm^3.
Now, we can calculate the mass of the plastic cube.
mass of cube = density of block B x volume of cube.
mass of cube = 0.000120125kg/cm^3 x 216cm^3.
mass of cube = 0.0259885kg.
So, the mass of the plastic cube is approximately 0.026kg.