A cereal box has dimensions of 2 in., 5 1/3 in., 10 3/4 in. a. What is the volume of the cereal box? Show your work! b. If the box contains 8 servings, how much volume does each serving take up? Show your work!

QUESTION POSTED AT 18/04/2020 - 07:44 PM

Answered by admin AT 18/04/2020 - 07:44 PM

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

Volume = length * width * height

First, we convert each value into improper fractions.

2 in. 
→ 2/1 in
5 1/3 in → 16/3 in
10 3/4 in → 43/4 in


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

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

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