a cereal box has dimensions of 2 in., 5 1/3 in., and 10 3/4 in. If the box contains 8 servings, how much volume does each serving take up?

Step-by-step explanation:

Volume is found by length multiplied by width multiplied by height. Therefore our first equation is 2 multiplied by 5 and 1/3 or 16/5 as a mixed number multiplied by 10 3/4 or 43/10 as a mixed number. This will give us the total volume. As there are 8 servings, we will need to divide by 8 or multiply by 1/8 to find the volume of each serving. The final answer is 86/25 which simplified to 3 and 11/25

"Each serving occupies a volume of 14.33 in³ in the box of cereals."

Step-by-step explanation:

It is Given That:

A cereal box has dimensions of 2 in., 5 1/3 in., 10 3/4 in.

(Volume = length * width * height)

Firstly, we convert each value into improper fractions.

So it'll be:

2 in. → 2/1 inches

5 1/3 in → 16/3 inches

10 3/4 in → 43/4 inches

A) Volume = 2/1 in * 16/3 in * 43/4 in = 2*16*43 / 1*3*4 = 1,376 in³ / 12 = 114.67 in³

B) 8 servings

114.67 in³ / 8 servings = 14.33 in³ per serving

So your answer will be : Each serving occupies a volume of 14.33 in³ in the box of cereals.