If the shown shape has a depth of 4 what is its total volume?

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Answer 1 · 2017-05-02T20:18:07

It's this, 4 deep:

enter image source here

So that's #4 xx (3 xx 3) xx 4#

Answer 2 · 2017-05-02T20:46:38

#144" units"^3#

Split the shape up. This works well for volume. You have to be a bit more careful with surface areas.
Tony B

Volume of A is: #9xx3xx4= 108#

Volume of B is: #3xx3xx4=36#

Total volume is:

#108#
#ul(color(white)(1)36) larr" Add"#
#144#

It is good practice to show the units of measurement.

Suppose you were measuring in inches

Length #->" inches"#
Area #->" inches"^2#
Volume #->" inches"^3#

We do not know what units of measurement is used for this question so we say #"units"^3# giving:

#144" units"^3#