Abox is in the shape of a rectangular prism. nicole is trying to ship boxes of her homemade peanut butter cookies. the box she is using to ship has the dimensions of 10in by 10in by 12in. each cookie box has dimensions of 2in by 5in by 3in. how many cookie boxes will fit into the box to be shipped? explain how you got your answer.

40 cookie boxes will fit into the box to be shipped.

Step-by-step explanation:

We know the dimensions of the box that Nicole is using to ship.

We also know the dimensions of the cookie boxes.

To solve this problem, we need to calculate the volume of the box that Nicole uses to ship and then divide that volume by the volume of the cookie box.

The box that Nicole uses to ship has the shape of a rectangular prism.

For a rectangular prism of dimensions A by B by C the volume is

The volume of this box is

For the cookie boxes, the dimensions are 2 in by 5 in by 3 in

Therefore, it volume will be :

To find how many cookie boxes fit into the box to be shipped we need to divide the volume of the box by the volume of the cookie box :

We find out that 40 cookie boxes fit into the box to be shipped.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.