Question

The length, breadth and height of a closed wooden box are 20 cm, 12 cm and
8 cm. The thickness of the wood used to make the box is 10 mm. Find:
(i) the volume of the wood.
(ii) the cost of the wood required to make the box, if 1 cm^3 of wood costs
8.50
WHO WILL ANSWER THIS FIRST I WILL MAKE HIM BRAINLIEST​

Answer 1

Step 1:

Outer dimensions of the wooden box:

Outer length, L = 20 cm

Outer breadth, B = 12 cm

Outer height, H = 8 cm

∴ The outer volume of the box = L× B × H

= 20 × 12 × 8

= 1920 cm³

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Step 2:

Thickness of the wood used to make the box:

= 10 mm

= 1 cm

So,

inner dimensions of the wooden box:

Inner length, l = 20 - (2×1) = 20 - 2 = 18 cm

Inner breadth, b = 12 - (2×1) = 10 cm

Inner height, h = 8 - (2× 1) = 6 cm

∴ The inner volume of the box:

= 18 × 10 × 6

= 1080 cm³

________________________________

Step 3:

Now,

The volume of the wood is given by,

= [outer volume of box] - [inner volume of box]

= 1920 - 1080

= 840 cm³

The cost of 1 cm³ wood is given to be Rs. 8.50

∴ The cost of wood required to make the box is,

= 840 cm³ × Rs. 8.50

= Rs. 7140

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Hope it helps

Mark as brainliest

@ Devanshu1973

Answer 2

Answer:

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Step-by-step explanation:

Vol of wood= 840m³

Cost of wood= ₹7140