The formula to determine the cubic volume of a box is (L)ength x (W)idth x (Height).
For this problem we will assign:L=30, W=48, H=6.
I will assume these measurements are in inches since that makes the most sense.
Using 12 inches = 1 foot, we have to convert our measurements to inches first.
L= 30/12=2.5
W=48/12=4.0
H = 6/12=0.5
Volume of a box = LWH
2.5 x 4.0 x 0.5 = 5 ft^3
*Note*
You could also do the above problem without converting to feet until the end. To do this you use the original numbers in inches than divide by 12^3 at the end.
Ex: (30 x 48 x 6) / 12^3 = 5 ft^3
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6 x 2 x 4 = 48 The volume is 48 cubic feet (ft3).
12 in = 1 ft → 40 in × 48 in × 60 in = (40 ÷ 12) ft × (48 × 12) ft × (60 × 12) ft = 10/3 ft × 4 ft × 5 ft = 200/3 cu ft = 66 2/3 cu ft ≈ 66.67 cu ft
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(6 cm) x (4 cm) x (2 cm) = 48 cm^3 which is 48 cubic centimeters
To find the dimensions of a box that contains twice as many cubes as a 2x3x4 box, we first calculate the volume of the smaller box: 2 x 3 x 4 = 24 cubic units. Since the larger box contains twice as many cubes, its volume must be 2 x 24 = 48 cubic units. To determine the dimensions of the larger box, we need to find three numbers that multiply together to give 48. One possible set of dimensions could be 4 x 4 x 3, as 4 x 4 x 3 = 48 cubic units.