I need some serious help. I am a grade 10 student and I have this assignment due for tomorrow, but I can't get past the first question. The first part of the question asks me to calculate the volume of a box (prism) measuring 100mm by 60mm by 40mm.
I got that part- the answer is 24 0000mm cubed.
The next question is the tricky part. It says that there is another box with a length, breadth and depth twice as big as the previous box. It tells me to make a suggestion as to the volume of this box e.g will it be twice the volume of the prevous box? It then says to test my suggestion by calculating the volume.
I nee to know what the correst suggestion is, because we are getting graded on our ability to make the right suggestions.
Thanks
p.s I need this asap- the assignment is due tomorrow.
If each dimension is twice
Volume=2*L (2W)(2H)=8 times original volume?
First, visualize smaller cubes so that the numbers can be more easily multiplied.
Suppose you have a cube that measures 3 by 4 by 5 mm. That would have a volume of 60 square mm.
Now double those figures.
6 by 8 by 10 mm. What is that volume?
What would be a logical suggestion for your original problem?
How does that work? I mean, it is right- but how did u get that answer? I always thought it would be six. Why is it eight?
To determine the suggestion for the volume of the new box, we can use the concept that volume is directly proportional to the product of length, breadth, and depth.
In this case, the new box has dimensions that are twice as big as the previous box. So, if the length, breadth, and depth of the previous box are L, B, and D respectively, then the length, breadth, and depth of the new box would be 2L, 2B, and 2D.
To test our suggestion, we need to calculate the volume of the new box and compare it to the volume of the previous box.
The volume of the previous box is given as 100mm * 60mm * 40mm = 240,000 mm³.
Now, let's calculate the volume of the new box:
Volume of new box = (2L) * (2B) * (2D) = 8LBD
Since the length, breadth, and depth of the new box are all twice as big as the previous box, we can say that the volume of the new box will be eight times the volume of the previous box.
Therefore, the correct suggestion is that the volume of the new box will be 8 times the volume of the previous box.
Now, let's calculate the volume of the new box using the given dimensions:
Volume of new box = 8 * (100mm * 60mm * 40mm) = 1,920,000 mm³
So, the volume of the new box is indeed 1,920,000 mm³, which is 8 times the volume of the previous box.
Make sure to include these calculations and explanations in your assignment to justify your suggestion and show your understanding of proportional relationships. Good luck with your assignment!