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.)

Question

Giancarlo Garcia

Mathematics

6 July, 22:51

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.)

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Answers (2)

Know the Answer?

Bolton · Answer 1

33

Step-by-step explanation:

Volume = 7.2*3.5*8.7=219.24

Rounded off to 219

Rounding off lengths and

finding the volume. 7*4*9=252

Difference=|252-219|

= 33

Moises Riggs · Answer 2

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