What is the volume of a box with a square base?

A box with a square base and open top must have a volume of 32,000cm^3. How do you find the dimensions of the box that minimize the amount of material used? | Socratic

What is the volume of a rectangular prism in cm3?

The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm 3, mm 3, in 3, m 3, etc. Volume of a Rectangular Prism Formula The formula for the volume of a rectangular prism is given as: Volume of a rectangular prism = (length x width x height) cubic units.

What are the dimensions of a cube with the same volume?

What are the dimensions of a cube with the same volume as a rectangular prism with the dimensions as 8 m by 6 m by 3 m? where a is the length of a cube. Therefore, the dimensions of the cube will be 5.24 cm by 5.24 cm by 5.24 cm. Calculate the volume of a solid rectangular prism whose base area is 18 in 2 and height is 4 in.

What is the critical number of a box?

The only critical number is x = 40 cm. A” = 2 + 256,000 x3 which is positive at x = 40. The box should have base 40 cm by 40 cm and height 20 cm.

How much will the internal dimensions of a DV container be reduced?

Ply lining will reduce the internal dimensions on DV containers by approximately: – 2.5 inches (62mm) off the height – 6.5 inches (165mm) off the width – 2.5 inches (62mm) off the length

What is the maximum weight of a 5ft shipping container?

Maximum Weight* 5ft: 940kg: 6ft: 1026kg: 8ft: 1198kg: 10ft: 1450kg: 15ft: 1760kg: 20ft: 2230kg: 25ft: 2447kg: 30ft: 2840kg: 40ft: 3950kg: 45ft: 4500kg *Please note – weight may vary due to the Container Manufacturer and Door Type

How do you minimize the amount of material used in construction?

The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. which gives us #h = (32,000)/x^2#, so the area becomes: The only critical number is #x=40# cm.