Question

What is the maximum storage space available in the given hollow container with negligible thickness?

• A. $104{\text{ft}}^3$
• B. $156{\text{ft}}^3$
• C. $180{\text{ft}}^3$
• D. $108{\text{ft}}^3$

Answer 1

The correct option is B $156{\text{ft}}^3$

Total volume = Volume of the prism with square base + Volume of the rectangular pyramid

Total volume $=l\times w\times h+\frac{1}{3}\times l\times w\times h$

$=6\times 6\times 3+\frac{1}{3}\times 6\times 6\times 4$

$=108+48$

$=156{\text{ft}}^3$

The maximum storage space available in the given hollow container is $156{\text{ft}}^3$