A cubical wooden box of internal edge 1 m is made of 5 cm thick wood. The box is open at the top. If the wood costs ₹ 28,800 per cubic metre, find the cost of the wood required to make the box. Calculate the cost to nearest hundred rupees.

Given, Internal edge of cubical wooden box = 1 m Thickness of wood = 5 cm = m = 0.05 m We know that, External length = (1 + 0.05 × 2) = 1.1 m External Breadth = (1 + 0.05 × 2) = 1.1 m External Height = (1 + 0.05) = 1.05 m [Since, box is open at top] By formula, Volume of the wood used = Outer volume – Inner volume Substituting the values we get, Volume of the wood used = 1.1 × 1.1 × 1.05 – 1 × 1 × 1 = 1.2705 – 1 = 0.2705 m3 Given, Cost of 1 m3 of wood = ₹ 28,800 Cost of the wood required to make the box = Cost of wood per m3 × Volume of wood = ₹ 28,800 × 0.2705 = ₹ 7,790.40 ₹ 7,800 (to nearest hundred) Hence, cost of wood required to make the box = ₹ 7,800.

A rectangular plot is 24 m long and 20 m wide. A cubical pit of edge 4 m is dug at each of the four corners of the field and the soil removed is evenly spread over the remaining part of the plot. By what height does the remaining plot get raised?

View Answer Bookmark Now

The inner dimensions of a closed wooden box are 2 m, 1.2 m and 0.75 m. The thickness of the wood is 2.5 cm. Find the cost of wood required to make the box if 1 m³ of wood costs ₹ 22,000.

View Answer Bookmark Now

A square brass plate of side x cm is 1 mm thick and weighs 4725 g. If one cc of brass weights 8.4 g, find the value of x.

View Answer Bookmark Now

Three cubes whose edges are x cm, 8 cm and 10 cm respectively are melted and recast into a single cube of edge 12 cm. Find x.

View Answer Bookmark Now

Mathematics

A cubical wooden box of internal edge 1 m is made of 5 cm thick wood. The box is open at the top. If the wood costs ₹ 28,800 per cubic metre, find the cost of the wood required to make the box. Calculate the cost to nearest hundred rupees.

Mensuration

Related Questions

A rectangular plot is 24 m long and 20 m wide. A cubical pit of edge 4 m is dug at each of the four corners of the field and the soil removed is evenly spread over the remaining part of the plot. By what height does the remaining plot get raised?

The inner dimensions of a closed wooden box are 2 m, 1.2 m and 0.75 m. The thickness of the wood is 2.5 cm. Find the cost of wood required to make the box if 1 m³ of wood costs ₹ 22,000.

A square brass plate of side x cm is 1 mm thick and weighs 4725 g. If one cc of brass weights 8.4 g, find the value of x.

Three cubes whose edges are x cm, 8 cm and 10 cm respectively are melted and recast into a single cube of edge 12 cm. Find x.

Mathematics

A cubical wooden box of internal edge 1 m is made of 5 cm thick wood. The box is open at the top. If the wood costs ₹ 28,800 per cubic metre, find the cost of the wood required to make the box. Calculate the cost to nearest hundred rupees.

Mensuration

Related Questions

A rectangular plot is 24 m long and 20 m wide. A cubical pit of edge 4 m is dug at each of the four corners of the field and the soil removed is evenly spread over the remaining part of the plot. By what height does the remaining plot get raised?

The inner dimensions of a closed wooden box are 2 m, 1.2 m and 0.75 m. The thickness of the wood is 2.5 cm. Find the cost of wood required to make the box if 1 m3 of wood costs ₹ 22,000.

A square brass plate of side x cm is 1 mm thick and weighs 4725 g. If one cc of brass weights 8.4 g, find the value of x.

Three cubes whose edges are x cm, 8 cm and 10 cm respectively are melted and recast into a single cube of edge 12 cm. Find x.

The inner dimensions of a closed wooden box are 2 m, 1.2 m and 0.75 m. The thickness of the wood is 2.5 cm. Find the cost of wood required to make the box if 1 m³ of wood costs ₹ 22,000.