Table of Contents
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
How much does it cost to build a rectangular box?
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $ 0.31 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $ 0.19 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
How do you calculate the volume of a rectangular box?
To calculate the volume of a rectangular box or tank, you need to take three measurements, then multiply them. In practical situations, you might have a plan or engineering schematic in which the measurements are all given making your task significantly easier.
What is the volume of a 25×4 box?
For example, if the base of the box is 25 sq ft and the side of the box ortogonal to it is 4 feet long, then the box volume is 25 x 4 = 100 cu ft. Often one needs to calculate the volume of shipping containers, boxes, crates, tanks, and other transportation devices.
The volume of a box = height * width * length. The base is square, so width=length. That makes the volume of a square box = height * length * length. The volume = 252 cu in.
How do you find the volume of a square box?
We can find the volume of a square box just by knowing the length of the side of the box. The volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = s3, where “s” is the length of the side of the square box.
What is the formula for volume of a box?
You can calculate the volume of a box by multiplying length x width x height.
What is a rectangle with a square base?
square prism
A square prism (right square prism) is a prism having four sides as a rectangle and two squares as its bases (one square acts as the top). It is also known as a square cuboid or square box.
What is the formula to calculate the volume of a box?
Formula: a = hw b = hl c = wl SA = 2 [a + b + c] V = hwl Where, h = Height of Box l = Length of Box w = Width of Box SA = Total Surface Area of Box V = Volume of Box
What is the cost of the base of the box?
The base is a square so its area is $x^2$. Then the volume of the box is “base area times height”, so the volume is $V = x^2 y = 40 ft^3$. The area of the base is $x^2$, so the cost of the base is $0.31 x^2$.