Okay bottle wooden box of internal age 1 metre is made of 5 centimetre thick would the box is open at the top it would cost rupees 9604 cubic metre. Find the cost of the wood require to make the box.
We have Rs.100/-.If we spend Rs.100/-and balance is Rs.102/-,show how is Rs.2/-extra
To find the cost of the wood required to make the box, we need to determine the volume of the wooden box first.
Given information:
- Length (L) = 1 meter
- Thickness (T) = 5 centimeters = 0.05 meter
- Cost (C) = ₹9604 per cubic meter
The wooden box is open at the top, so we have to consider only the volume of the sides and bottom.
The volume of a rectangular box is calculated as length multiplied by width multiplied by height (L × W × H).
Since the box is open at the top, the width is the same as the length. So, the volume becomes L × L × H.
Since the thickness of the wood is 0.05 meters, the internal length and width will be reduced by twice the thickness because each side will have a reduction of the thickness.
The internal length (L1) and width (W1) are given as follows:
L1 = L - 2T = 1 - 2 × 0.05 = 0.9 meters
Now, we can calculate the volume (V) of the wooden box:
V = L1 × L1 × H
We are given that the volume (V) is equal to 9604 cubic meters:
9604 = 0.9 × 0.9 × H
9604 = 0.81H
Now, we can solve for H:
H = 9604 ÷ 0.81 ≈ 11886.42 meters
So, the height of the box (H) is approximately 11886.42 meters.
To find the total wood required, we need to calculate the surface area of the box (S) and multiply it by the thickness (T):
S = 2(L1 × H) + L1^2
Now, we can calculate the total wood required:
Total Wood Required = S × T
Plug in the given values and calculate the wood required to make the box.