Please help: Cardboard boxes are required to be 3 inches deep, twice as long as they are
wide, and each must have a volume of 150 in². What should be the
dimensions of the original pieces of cardboard from which the boxes are
made?
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Please help: Cardboard boxes are required to be 3 inches deep, twice as long as they are
wide, and each must have a volume of 150 in². What should be the
dimensions of the original pieces of cardboard from which the boxes are
made?
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Answer:
Dimensions:
Height = 3 inches
Length = 10 inches
Width = 5 inches
Step-by-step explanation:
Given:
Height = 3
Length = 2w
Width = w
Volume = 150
Volume of a Rectangular Box Formula:
L × W × H = V
Step 1: Substitute the given to the formula.
L × W × H = V
↓
2w(w)(3) = 150
↓
6w² = 150
Since a measurement is always positive, then we will just disregard -5. The width will be 5. Since the length is twice the width, then the length is 5 times 2, which is 10.
Dimensions:
Height = 3 inches
Length = 10 inches
Width = 5 inches
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