a cubical wooden box of internal edge 1m is made of 5cm thick wood.The box is open at the top . if the wood costs Rs. 9600 per cubic metre, find the cost of the wood required to make the box?
Boring blah
To find the cost of the wood required to make the box, we need to calculate the volume of the box and then multiply it by the cost of the wood per cubic meter.
The internal edge of the box is given as 1m, which means the side length of the cube is 1m.
Since the wood is 5cm thick, we need to subtract twice the thickness from each side length to find the internal edge length of the wooden box.
The internal edge length of the wooden box = 1m - 2 * 0.05m = 0.9m
Since the box is a cube, the volume of the box is given by:
Volume = (side length)^3 = (0.9m)^3 = 0.729 cubic meters
Next, we multiply the volume of the box by the cost of the wood per cubic meter:
Cost of the wood = Volume * Cost per cubic meter
= 0.729 * Rs.9600
Calculating this, we find:
Cost of the wood = Rs. 7004.16
Therefore, the cost of the wood required to make the box would be Rs. 7004.16.
To find the cost of the wood required to make the box, we need to calculate the volume of the wooden box.
The internal edge length of the wooden box is given as 1 meter. Since the box is made of 5cm thick wood, the external edge length would be increased by 5cm on each side.
To calculate the external edge length, we need to add the thickness of the wood on both sides of the box. Since the thickness is 5cm, we add 5cm on both the length, width, and height.
So, the external edge length of the wooden box would be 1m + 5cm + 5cm = 1m + 10cm = 1.1m.
Now, we can calculate the volume of the wooden box. The volume of a cuboid is given by the formula:
Volume = Length x Width x Height.
In this case, the length, width, and height are all equal to the external edge length, which is 1.1m.
Volume = 1.1m x 1.1m x 1.1m = 1.331m³.
Now, we can find the cost of the wood required to make the box. The cost is given as Rs. 9600 per cubic metre.
Cost of wood = Volume x Cost per cubic metre
= 1.331m³ x Rs. 9600
≈ Rs. 12,825.60.
Therefore, the cost of the wood required to make the box is approximately Rs. 12,825.60.