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In this example were asked to find the volume
for each of the given shapes. So in the first one Part A,
what we have to assume here is that we have a cube
because we really don't have enough information otherwise. So I'm going to fill in
the links of the sides here that are missing and then for volume
we're going to use length times width times height
which in this case is the same, so it's 4 times 4 times 4.
4 times 4 is 16 so we'll do this one first,
and then 16 times 4 is 64
so our volume is 64
and we're going to have cubic inches.
In our second
example here we're going to need to draw and label
a box. it's always nice to have a diagram
sometimes the three-dimensional ones are kind of hard to draw, so just do your best.
So I'm going to say and it's not really going to be to scale
but it's just so I can keep track. If this is 2 feet
here, this is not really 3 feet but just an illustration here
okay. So we have 2 feet, 3 feet,
2 and 1/2 feet. Our volume again is going to be the length
times width times height. Let's put all of our
numbers in. So 2 times 3 times 2 and 1/2, that's going to be 6
times, let's write this as an improper fraction,
so that's 5/2. If I
work with this multiplication that's going to be 6 times 5 is
30/2 which is 15.
so my volume than for this box
is 15, and we can write
feet cubed or we can say volume
equals 15 and write it this way
cubic feet. Either way
is correct.