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What is the length of each edge if the volume of a cube is 125 cu cm?
5 cm
What is the volume of a box that's 30cm long 12cm high and 15 cm wide?
The box has a volume of 5400 cu. cm ( 329.5282 cu. inches ).
A box is made from a rectangular piece of metal whit length 20 inches and width 15 inches. The box has no top. What are the limitations on the size of x?
x<7.5 To find the maximum volume of the box: A square of side x inches is cut from each corner of the sheet and the remaining flaps folded up to make the topless box. The box therefore has a height of x", length of 20 - 2x and width of 15 - 2x. Volume is thus x * (20 - 2x) * (15 - 2x) ie 300x - 70x2 + 4x3 The volume is greatest when this has a maximum value: f(x) = 300 - 140x + 12x2 (or 12x2 - 140x + 300) Quadratic formula gives a value within the limit of x = 2.83 representing a box 14.34 * 9.34 * 2.83 ie 379.04 cu in.
How do the volumes of the cube compare to each other?
Side = 3 units, volume = 27 cu units, side = 6 units, volume = 216 cu units. The side is increased by a factor of 2 and the volume is increased by a factor of 8, ie 23 If the side were increased by a factor of 3, we would thus expect the volume to increase by a factor of 33 ie 27, so: side 9 units, volume 729 cu units which is indeed 27 x 27. To summarise: the volume increases by the cube of the factor by which the side increases.
How do you calculate cube for a box?
The cubic content of a box is calculated by multiplying its length, width, and height. For example, a box 12 inches long, 6 inches wide, and 5 inches high has a volume of 12 in x 6 in x 5 in = 360 cu in. This can also be written as 360 in3.
