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Darya [45]
3 years ago
13

Im kind of confused on this practice problem

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

v = 124 cm³

Step-by-step explanation:

The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

v = 60

Now, for the total collective volume, simply add up the volumes of the independent shapes.

64 + 60 = 124 cm³

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lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

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3 years ago
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3 years ago
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Answer:

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Answer:

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