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sergeinik [125]
3 years ago
15

Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then,

she changes pans so that the new one is 20 by 20 by 5 cm deep. How far is the batter now from the top? Round to the nearest tenth.
Also, pleaseshow work. That way I can look at how the problem is solved. Thank you!
Mathematics
1 answer:
barxatty [35]3 years ago
5 0

The volume of the first pan is (length x width x depth) =

                                               (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan.  So we know that
there is 1408 cm³ of batter in the new pan.  It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

                         (length x width x depth)  =  1408 cm³

                       (20cm x 20cm) x (depth)  =  1408 cm³

                                (400 cm²) x (depth)  =  1408 cm³

Divide each side by  400cm² :      depth  =  1408 cm³ / 400cm²

                                                               =  3.52 cm

Since the new pan is 5 cm deep, this works.  The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is <em>from the top of the pan</em>.

The pan is        5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's  <em>1.5 cm  </em>from the top.

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