Question

The internal dimensions of a closed wooden box are 24cm, 16cm

and 8cm and the thickness of the wood in the box is 1cm. Find

i) the volume of the box.

ii) the cost of the box, if wood costs ₹ 10 per cm .

3

iii) number of 4 cm cubes that could be placed into the box​

Answer 1

Answer:

Step-by-step explanation:

Given outer length = 10 cm

Outer breadth = 8 cm

Outer height = 7 cm

Outer volume = length × breadth × height

= 10 × 8 × 7 = 560 cm3

Thickness of wooden box, w = 1 cm

Inner length = l – 2w = 10 – 2 = 8 cm

Inner breadth = b – 2w = 8 – 2 = 6 cm

Inner height = h – 2w = 7 – 2 = 5 cm

Outer volume = 8 × 6 × 5 = 240 c m3

Volume of wood used = outer volume – inner volume

= 560 – 240 = 320 cm3

Given cost of 1 cm3 of wood = Rs 2

Hence the total cost of wood required = Rs 2 × 320

= Rs 640