MATH SOLVE

4 months ago

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