Question

THE FIRST 2 PEOPLE TO ANSWER GET POINTS AND ONLY ONE OF THEM GETS BRAINLIETS FOR THE BEST ANSWER

Answer 1

Answer: 157.5

To find the volume of the smaller box, we use this equation:

• Base × Length × Height

Fitting the dimensions into the equation:

• 
  `8(3)/(4)` × 3 × 10 = 262.5

So, the volume of the smaller box is 262.5³.

If the height of the second box is %60 percent bigger, we can use this equation to figure out the new height.

10 × 1.6 = 16

Why do we multiply by 1.6 instead of 0.6?

Well, that's a good question! If we were to multiply by 0.6, the box would get smaller, instead of bigger. We add the 1.0 because we have to add the original height, not just the added height.

Now, the equation looks like this:

• 
  `8(3)/(4)` × 3 × 16 = 420

Now, the second boxes volume is 420³.

To find out the difference between the two volumes, we can subtract.

• 420 - 262.5 = 157.5

Therefore, the difference between the two volumes is 157.5.