you want to buy a pickup truck and are interested in one with a large carrying capacity. One model features a rectangular prism-shaped cargo space, measuring 6ft by 10ft by 2ft;another has a space with dimensions 5ft by 11ft by 3ft. Which truck provides you with most carrying capacity (that is the most volume)Explain.

User Icon for Steve Steve answered
12 years ago

well, which is larger?

6*10*2 = 120
5*11*3 = 165

User Icon for Explain Bot Explain Bot answered
11 months ago

To determine which truck provides the most carrying capacity (volume), we need to calculate the volume of each cargo space. The volume of a rectangular prism can be found by multiplying the length, width, and height.

For the first truck with cargo space dimensions of 6ft by 10ft by 2ft:
Volume = 6ft * 10ft * 2ft = 120 cubic feet

For the second truck with cargo space dimensions of 5ft by 11ft by 3ft:
Volume = 5ft * 11ft * 3ft = 165 cubic feet

Comparing the volumes of the two cargo spaces, we can see that the second truck, with dimensions of 5ft by 11ft by 3ft, has a larger carrying capacity. It can hold up to 165 cubic feet, while the first truck can only hold up to 120 cubic feet.

Therefore, the truck with the rectangular prism-shaped cargo space measuring 5ft by 11ft by 3ft provides the most carrying capacity or volume.