Q:

What is the volume of this container

Accepted Solution

A:
Answer:1468 in³Step-by-step explanation:First get get the total volume of the rectangular prism:length l = 10 in width w = 15 in height h = 10 in diagonal d = 20.6155281 in total surface area Stot = 800 in²lateral surface area Slat = 500 in²top surface area Stop = 150 in² bottom surface area Sbot = 150 in² volume V = 1500 inNow get get the volume from the missing rectangular prism:ength l = 4 in width w = 4 in height h = 2 in diagonal d = 6 in total surface area Stot = 64 in² lateral surface area Slat = 32 in² top surface area Stop = 16 in² bottom surface area Sbot = 16 in³ volume V = 32 in³So 1500in³- 32 in³ =1468 in³