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250 cm

x cm
x cm
Not to scale
A solid metal bar is in the shape of a cuboid of length of 250 cm.
The cross-section is a square of side x cm.
The volume of the cuboid is 4840 cm³.
(a) Show that x = 4.4.

1 Answer

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Answer: We know that the volume of a cuboid is given by the product of its length, width and height, or V = l * w * h. In this case, the length is 250 cm and the height and width are both x cm. So, the volume can be written as:

V = 250 * x * x

Substituting the given value of V = 4840 cm³, we get:

4840 = 250 * x * x

Dividing both sides by 250, we get:

19.36 = x * x

Taking the square root of both sides, we get:

x = ±√19.36

Since the side length of a square must be positive, we use the positive square root:

x = ±4.4 cm

Therefore, the side length of the square cross-section is 4.4 cm.

Explanation:

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