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Dmitry [639]
2 years ago
11

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris

m as shown. What is the volume of the​ slice? What is the volume of the remaining​ cake?

Mathematics
1 answer:
elena-s [515]2 years ago
8 0

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

<h3>How to determine the volume </h3>

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Learn about volume of a hexagonal prism here:

brainly.com/question/9647193

#SPJ1

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3 years ago
If x=10, write an expression in terms of x for the number 5,364
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Answer:

(5,354 + x)

or

536.4*x

Step-by-step explanation:

We know that x = 10.

Now we want to write an expression (in terms of x) for the number 5,364.

This could be really trivial, remember that x = 10.

Then:  (x - 10) = 0

And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.

5,364 = 5,364 + (x - 10) = 5,364 + x - 10

5,364 = 5,354 + x

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3 years ago
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