theotis has to load a truck with tv sets. the cargo area of the truck is a rectangular prism that measures 1 1/2 ft. by 1 2/3 ft. by 1 1/3 ft...how many sets can be loaded into the truck?

What is the size of the TV sets?

it doesnt say

it measures 11 by 25 by 12

0. If the TV is 25 inches and the biggest dimension of the truck is 20 inches (1 2/3 feet), the TV won't fit. He can load zero TVs sized 11" x 25" x 12"

To find out how many TV sets can be loaded into the truck, we need to calculate the volume of the cargo area of the truck and then divide it by the volume of each TV set.

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the dimensions are given in mixed fractions, so we need to convert them into improper fractions first.

The length of the cargo area is 1 1/2 ft, which can be converted to an improper fraction as 3/2 ft.

The width is 1 2/3 ft, which can be converted to 5/3 ft.

The height is 1 1/3 ft, which can be converted to 4/3 ft.

Now we can calculate the volume of the cargo area:

Volume = length x width x height
= (3/2) ft x (5/3) ft x (4/3) ft
= (3 x 5 x 4) / (2 x 3 x 3) ft^3
= 60 / 18 ft^3
= 10/3 ft^3

Now, we need to know the volume of each TV set. Let's assume that each TV set has a volume of 1/2 ft^3.

Finally, to find out how many sets can be loaded, we divide the volume of the cargo area by the volume of each TV set:

Number of sets = (10/3 ft^3) / (1/2 ft^3)
= (10/3) x (2/1)
= 20/3
≈ 6.67 sets

Since we can't have a fraction of a TV set, we can only load a whole number of sets. Therefore, the maximum number of TV sets that can be loaded into the truck is 6.