Question

Angela and Brian were measuring the length of each side of the same box, in order to find its volume. They both measured the sides to be 7.2, 3.5, and 8.7. Angela, to avoid mistakes in rounding, first found the volume and then rounded to the nearest whole number. Brian, on the other hand, decided to take the easy route and rounded the length of the sides to the nearest integers and then found the volume using the rounded lengths. What was the positive difference between Angela's and Brian's rounded volumes? (Note: The volume of a box is defined to be the product of its three sides.)

Answer 1

Answer:

33

Step-by-step explanation:

Using Angela's method, we first multiply, then round.

V = (7.2)(3.5)(8.7)

V = 219.24

V ≈ 219

Using Brian's method, we first round, then multiply.

V = (7.2)(3.5)(8.7)

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers is:

252 − 219 = 33

Answer 2

The positive difference between Angela's and Brian's rounded volumes is 33.

What is volume of cuboid?

The volume of a cuboid is equal to the product of length, width and height of a cuboid.

According to Angela's method,

V = (7.2)(3.5)(8.7)

V = 219.24

First found the volume, then round.

V ≈ 219

According to Brian's method,

V = (7.2)(3.5)(8.7)

First round, then found the volume,

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers  = 252 − 219 = 33

Hence, the positive difference between Angela's and Brian's rounded volumes is 33

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