Theotis had to load a truck with television sets. The cargo area of the truck is a rectangular prism that measures 8 ft. by 21 ft. by 11 ft. Each television set measures 1 ½ ft by 1 2/3 ft. by 1 1/3 ft. How many tv’s can be loaded into the truck?

554 is not the right answer. Because that would assume the TVs could be split into pieces to fit all the space. You will need to figure out how many boxes you can fit in each direction. Then multiply that put. Assuming you could flip the TV boxes in any direction...the most you could fit would be 6x14x6. Or 504.

To find out how many TVs can be loaded into the truck, we need to calculate the volume of the cargo area of the truck as well as the volume of each TV set. Then, we divide the volume of the cargo area by the volume of each TV to determine the maximum number of TVs that can fit.

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the cargo area of the truck measures 8 ft. by 21 ft. by 11 ft., so its volume can be calculated as follows:

Volume of the truck = 8 ft. * 21 ft. * 11 ft. = 1,848 cubic feet

Now let's calculate the volume of each TV set. The dimensions of each TV are given as 1 ½ ft. by 1 2/3 ft. by 1 1/3 ft. To simplify the calculations, we can convert the dimensions to proper fractions:

1 ½ ft. = 3/2 ft.
1 2/3 ft. = 5/3 ft.
1 1/3 ft. = 4/3 ft.

So, the volume of each TV set can be calculated as follows:

Volume of each TV = (3/2 ft.) * (5/3 ft.) * (4/3 ft.) = 20/9 cubic feet

Finally, we can now determine the maximum number of TVs that can fit inside the truck by dividing the volume of the truck by the volume of each TV:

Number of TVs = Volume of the truck / Volume of each TV
Number of TVs = 1,848 cubic feet / 20/9 cubic feet

To divide by a fraction, we invert the fraction and multiply:

Number of TVs = 1,848 cubic feet * (9/20)
Number of TVs = 83.4

Therefore, Theotis can load a maximum of 83 TVs into the truck.

528

(1848)/(10/3)=554.4

So, he can fit 554 televisions on the truck.

(8 * 21 * 11)/(3/2 * 5/3 * 4/3) = ?

554