The perimeter of one face of a wooden cube is 40 cm. Find its weight if 2 cm³ of wood weighs 8.20 g.
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- Its weight is 8.2 kg
Step-by-step explanation:
According to the Question
It is given that,
- Perimeter of one face of wooden cube 40 cm
- Volume 2 cm³
- Density 8.20g
we have to calculate the weight of cube
Firstly we calculate the side of cube.
Let the side be s
Perimeter of one face of wooden cube = Perimeter of Square = 4 × side
On substituting the value we get
→ 4 × side = 40
→ side = 40/4
→ side = 10 cm
Now, calculating the volume of cube .
- Volume of cube = side³
On substituting the value we get
→ Volume of Cube = 10 × 10 × 10
→ Volume of Cube = 1000 cm³
Now, calculating the weight (mass) of cube .
- Weight = Density × Volume
On substituting the value we get
→ Weight = 8.20 × 1000
→ Weight = 8200
→ Weight = 8200/1000
→ Weight = 8.2Kg
- Hence, its weight is 8.2 Kg
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