High School

Find the volume of a box with a length of 25 cm, a height of 25 cm, and a width of 1.0 m.

A) 0.625 m\(^3\)
B) 6.25 x 10\(^4\) cm\(^3\)
C) 6.25 x 10\(^4\) m\(^3\)
D) 625 cm\(^3\)

Answer :

The answer is B) 6.25 x 104 cm3.

The volume of the box (V) with length l, width w, and height h is:
V = l * w * h

We have:
l = 25 cm
h = 25 cm
w = 1 m

However, units are not the same, and we first need to convert meters to centimeters. Since 1 m = 100 cm, then w = 100 cm.

So, the volume of the box is:
V = 25 cm * 25 cm * 100 cm
V = 62,500 cm³
V = 6.25 * 10,000 cm³
V = 6.25 × 10⁴ cm³

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