Brainliest kaagad.
A square piece of cardboard is to be used to form a topless box by cutting off from each corner squares
measuring 5cm on each side, and then folding up the sides. If the volume of the box is 320cm^3, what is the length of a side of the cardboard?
X-10 -
5cm
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Please pahelp po. Hanggang Friday afternoon lang po.
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Verified answer
Problem:
A square piece of cardboard is to be used to form a topless box by cutting off from each corner squares measuring 5cm on each side, and then folding up the sides. If the volume of the box is 320cm³, what is the length of a side of the cardboard?
Given:
The cardboard is a square piece
Volume = 320cm³
The corners were cut by 5cm
height = 5cm (because it was folded)
Solution:
Since the cardboard is a square,
let x be the unknown length of the cardboard
W = x + 5 + 5
L = x + 5 + 5
Volume = LWH
320 = (x + 5 + 5)( x + 5 + 5)(5)
320/5 = (x + 10)(x + 10)
(x + 10)² = 64
x + 10 = √64
x = √64 - 10
x = - 2
L = x + 5 + 5
L = -2 + 10
L = 8cm
Checking:
Volume = LWH
320 = 8(8)(5)
320 = 320
Answer:
The length of a side of the cardboard is 8 cm
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