Question

a) 3
16. A wooden box (including the lid) has external dimensions of 40 cm by 34 cm by 30 cm. If the wood is
1 cm thick, how many cm of wood are there in it?
17. The outer dimensions of a closed wooden box are 10 cm by 8 cm by 7 cm. Thickness of the wood is
cm. Find the total cost of wood required to make the box if I cm' of wood costs 2.00
water level
19
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Answer 1

Answer:

Outer length(L) = 40cm 

Outer breadth(B) = 34cm

Outer height(H) = 30 cm

Thickness= 1 cm

Volume of the box= L× B×H

Outer volume of the box = 40 cm × 34 cm × 30 cm

Outer volume of the box = 40800 cm³

Thickness = 1 cm

Inner length (l)= 40 cm -(2×1)=40-2 = 38 cm

Inner breadth (b)= 34 cm - (2×1)= 32 cm

Inner height(h) = 30 cm -(2× 1)= 28 cm

Inner volume of the box = 38 cm × 32cm × 28 cm

Inner volume of the box = 34048 cm³

Volume of wood =outer volume of box - Inner volume of box

= 40800 -34048 = 6752 cm³

Hence, the volume of wood = 6752 cm³