A plate has its dimensions #4.234m#, #1.005m# and thickness is #2.01# #cm.# What is its surface area and volume?

1 Answer
Jun 20, 2017

Total area is #8.721# #m^2# and volume is #0.08553# #m^3#

Explanation:

Although it is considered a plate as its two dimensions (as length #l# is #4.234# #m# and breadth #b# is #1.005# #m#) are very large, but thickness #t# is relatively much smaller at #2.01# #cm.# i.e. #0.0201# #m#.

Hence volume is

#lxxbxxt=4.234xx1.005xx0.0201=0.08553# #m^3#.

and total surface area is

#2(lb+lt+bt)#

= #2xx(4.234xx1.005+4.234xx0.0201+1.005xx0.0201)#

= #2xx(4.25517+0.0851034+0.0202005)

= #2xx4.3604739#

= #8.7209478~=8.721# #m^2#