Question

a textbook measures 250mm long, 224mm wide, and 50.0mm thick. I has a mass of 2.94kg. what is the volume of the book in cubic meters

Answer 1

Actually, the information about the mass is irrelevant. Since you want to find the volume only, all you have to do is multiply the dimensions of the book. Since the book is like a rectangular prism, the formula for its volume is:

V = LWH
V = (250 mm)(224 mm)(50 mm)
V = 2,800,000 mm³ or 2,800 cm³

Answer 2

To get the volume of the textbook, we only need to know its dimensions. The volume of an object is the amount of space it occupies. Based on the problem, the length of the book is 250 mm, its width is 224 mm, and it has a thickness of 50 mm. The formula for the volume of a rectangular prism is length x width x height. The volume of the text book is then equal to 250 mm x 224 mm x 50 mm which gives 2800000 mm^3. The problem requires that the volume be expressed in units of cubic meters. We then use the conversion factor: 1 m = 1000 mm. Thus,

Volume of textbook = 2800000 mm^3 x (1 m/ 1000 mm)^3 = 0.0028 m^3