In a scale model of a product, a part has a volume of 20 inches cubed. If the product will be 4 times longer, 4 times wider, and
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Answer:
The volume of rectangular box is 9,000 cubic centimeters
Step-by-step explanation:
Given as :
The length of the rectangular sheet = L = 62 cm
The width of the rectangular sheet = B = 42 cm
Let The volume of rectangular box = v cubic centimeters
From each corner of sheet a square of 6 cm is cut out and an open box made
So, The length of box = L' = (L - 6 - 6)
i.e L' = (62 - 6 - 6)
Or, L' = 50 cm
Or, Length of the box = 50 cm
And The width of the box = B' = (B - 6 - 6)
i.e B' = (42 - 6 - 6)
Or, B' = 30 cm
Or width of the box = 30 cm
And,
The height of the box = H = 6 cm
∴ volume of rectangular box = Length of box × Breadth of box × Height of box
i.e v = L' × B' × H
Or, v = 50 cm × 30 cm × 6 cm
Or, v = 9,000 cm³
So, The volume of rectangular box = v = 9,000 cm³
Hence, The volume of rectangular box is 9,000 cubic centimeters Answer
