Help me please
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The meaning of the question isn't clear.

I assume the mass of the box is 3330kg, so its weight in Newtons is 3330g N, where g is the acceleration of gravity. If the density of water is about 1 g/cm3=0.001/(0.01)3=0.001/0.000001=1000kg/m3, then, since the weight of water displaced by the box must also be 3330g N, the volume V is given by density=mass/volume=3330/V=1000, so V=3.33m3.

The base area of the box=LB=4.7×1.9=8.93m2, so, if the box is to float, the depth D of the base below the surface of the box in the water is given by LBD=3.33m3, D=3.33/8.93=0.373m. The upward force of the water counterbalancing the weight of the box is 3330g Newtons (g=acceleration of gravity).

If D=0.38m then LBD=3.3934m3, which is equivalent to a mass of 3393.4kg. This is 63.4kg more than the actual mass of the box. If the mass of the box is increased by this amount, it will float with 0.38m below the surface. If a force of 63.4g Newtons is applied to anywhere except over the centre of gravity of the box, the box will tip over.

(The density of water is closer to 997.8kg/m3, but this would make V=3.34m3 instead of 3.33m3 and the floating depth would be 0.374m instead of 0.373m. This is still less than the given depth of 0.38.)

by Top Rated User (1.1m points)

Related questions

1 answer
asked Feb 2, 2012 in Algebra 1 Answers by anonymous | 939 views
1 answer
asked Aug 4, 2017 in Word Problem Answers by anonymous | 674 views
1 answer
asked May 15, 2013 in Trigonometry Answers by anonymous | 574 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,542 questions
99,806 answers
2,417 comments
523,484 users