Question

The total surface area of the rectangular prism shown above is , while its volume is .

• A. $280$ sq. units
• B. $300$ cubic units
• C. $160$ sq. units
• D. $600$ cubic units

Answer 1

Answer: (A), (B)

$300$ cubic units

Given the rectangular prism as:
Assuming length $l=10$; width $w=6$ and height $h=5$ units.
$\therefore$ Total surface area
$=2\times (l\times w+w\times h+h\times l)$
$=2\times (10\times 6+6\times 5+5\times 10)$
$=2\times (60+30+50)$
$=280$ sq. units

Now, volume of a rectangular prism
$=l\times w\times h$
$=10\times 6\times 5$
$=300$ cubic units.