Question

lesson 4: drilling for understanding

1. most food products are sold in packages of a certain size or volume, but the actual product in it is a different size. for example, a bag of chips is never full! the packaging is filled to a certain capacity. give three examples in which the packaging is bigger than the product.
2. calculate the volume of the following prisms and cylinders. round to the nearest cubic unit if necessary.

a. a triangular prism in which the triangular base has an area of 6 in² and a length of 10 in
we know

Explanation:

1.

Think of common food items with packaging larger than the product for protection or marketing.

Step1: Recall volume formula for prism

The volume formula for a prism is $V = B\times h$, where $B$ is the area of the base and $h$ is the height (or length in this case).

Step2: Substitute values

Given $B = 6\text{ in}^2$ and $h=10\text{ in}$, we substitute into the formula: $V=6\times10$.

Step3: Calculate volume

$V = 60\text{ in}^3$

Answer:

1. A bag of popcorn. The packaging has a lot of empty space to prevent the popcorn from getting crushed and also to make the package look more voluminous.
2. A can of Pringles. The can has some empty space at the top and the chips are not filled to the very brim.
3. A box of cereal. The box is usually much larger than the amount of cereal inside to give it a more appealing size on the shelf and to protect the cereal from getting too crushed.

2.