Question

the length , breadth and height of a closed wooden box are 20cm , 12cm & 8cm. The thickness of the wood used to make the box is 10mm. Find:
(i) the volume of the wood
(ii) the cost of the wood required to make the box , if 1cm³ of the wood costs 8.50Rs.​

Answer 1

Answer:

Refer to the picture

Step-by-step explanation:

Refer to the picture

Answer 2

(i) The volume of the wood is 840 cm³

(ii) The cost of the wood required to make the box, if 1cm³ of the wood costs 8.50Rs. is Rs. 7140.

Step-by-step explanation:

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

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

------------------------------------------------------------------------------------

Also View:

A closed wooden box 80cm long 65co wide and 45cm high is made of 2.5 cm thick wood.

https://brainly.in/question/1058383

A wooden box has external dimensions of 40 cm by 34 cm by 30 cm .if the wood is 1 cm .how many cm3 of wood are there in it?

https://brainly.in/question/1769571

A wooden box of 2 cm thickness has inner measurements 6 cm long 2 cm breath and 1 cm height .the volume of the wood in the box is?

https://brainly.in/question/3833699