For this case you should see the box as a rectangular prism.
The volume of a rectangular prism is given by:
V = (L) * (W) * (H)
Where,
L: length
W: width
H: height.
Substituting the values we have:
V = (12) * (6.5) * (1.25)
V = 97.5 cm ^ 3
Answer:
the volume, in cubic centimeters, of one baseball card case is:
V = 97.5 cm ^ 3
Parameterize this surface (call it
) by

with
and
. Take the normal vector to
to be

Then the area of
is



Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism

so
In this problem we have

substitute



so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism



The surface area of the prism is equal to

substitute the values

If he doubles each dimension of any rectangular prism
then
the new dimensions will be



The new surface area will be


therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
Answer:
=360x4+1440x3+24x+24
Step-by-step explanation:
6(x+4)(10)xx(6)x+(4)(6)x+24
=360x4+1440x3+(4)(6)x+24
=360x4+1440x3+24x+24
Hope it helps!!