i. Find the voluime and traThe outer dimensions of a closed wooden box

1.	i. Find the voluime and traThe outer dimensions of a closed wooden box are 22 cm, 15 cm and 10 cm. Thickis 1 ŃŃ. Find the cost of wood required to make the box if I cm of wood costsness of the wood1.50
Answer» 𝑪𝒐𝒔𝒕 𝒐𝒇 𝒘𝒐𝒐𝒅 = ₹1830 𝑬𝒙𝒑𝒍𝒂𝒏𝒂𝒕𝒊𝒐𝒏:Given:- the outer dimensions of a closed wooden box are 22 cm, 15 cm and 10 cm respectively. The thickness of the wood is 1 cm. The volume of the Wooden Box with respect to its outer dimension = (22 × 15 × 10) cm³ = 3300 cm³ From the thickness of the wood, we can get the inner dimensions of the wooden box = (22 - 2)cm × (15 - 2)cm × (10 - 2)cm = 20cm × 13cm × 8cm =>The volume corresponding to the internal dimensions of the wooden box = (20 × 13 × 8)cm³ = 2080 cm³ ∴ Volume of the wood required = (3300 - 2080) cm³ = 1220 cm³ ∴ Cost of wood = ₹(1220 × 1.50) = ₹1830.

i. Find the voluime and traThe outer dimensions of a closed wooden box are 22 cm, 15 cm and 10 cm. Thickis 1 ŃŃ. Find the cost of wood required to make the box if I cm of wood costsness of the wood1.50

Answer»

𝑪𝒐𝒔𝒕 𝒐𝒇 𝒘𝒐𝒐𝒅 = ₹1830

𝑬𝒙𝒑𝒍𝒂𝒏𝒂𝒕𝒊𝒐𝒏:Given:- the outer dimensions of a closed wooden box are 22 cm, 15 cm and 10 cm respectively.

The thickness of the wood is 1 cm.

The volume of the Wooden Box with respect to its outer dimension = (22 × 15 × 10) cm³ = 3300 cm³

From the thickness of the wood, we can get the inner dimensions of the wooden box = (22 - 2)cm × (15 - 2)cm × (10 - 2)cm = 20cm × 13cm × 8cm

=>The volume corresponding to the internal dimensions of the wooden box = (20 × 13 × 8)cm³ = 2080 cm³

∴ Volume of the wood required = (3300 - 2080) cm³ = 1220 cm³

∴ Cost of wood = ₹(1220 × 1.50) = ₹1830.