Question

Signed in as II Pause Q Zoom Q Review / ABE Question 2 Jm plans to pack a cooler with ice cubes The ice cubes are perfect 1 inch cubes. He measures the inside of the cooler and finds that the area of the bottom is 150 in? The height inside the cooler measures 10 inches. What is the largest number of ice cubes that Jim can pack into the cooler? 150 B 160 C 1.500 D 15 000 Illuminate Education, Inc.

Answer 1

In order to calculate the number of cubes that can be packed in the cooler we just have to calculate the internal volume of the cooler and divide it by the volume of the cubes.

The volume of a box is given by the following formula:

$V=l\times w\times h$

Where l is the length, w is the width and h is the height when we have the area of one of the faces of the figure, we can also calculate the volume of a box by means of the following formula:

$V=h\times A$

Where A is the area of the base of the box (in this case the cooler).

Cubes are a special case, their 3 dimensions are the same, that is their length, height and their width are equal, then we can calculate the volume of a cube with the following formula:

$V=a^3$Solution

Then the volume of each ice cubes is:

$V=1^3=1$

The volume of each cube equals 1 cubic inch.

For the cooler, we can calculate its volume like this:

$V=10\times150=1500$

Then, the volume of the cooler equals 1500 cubic inches.

As mentioned, the number of cubes that he can pack in the cooler be calculated by dividing the volume of the cooler by the volume of the cubes, like this:

Numer of ice cubes = 1500/ 1

Numer of cubes = 1500

Then, Jim can pack 1500 ice cubes