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Damm [24]
3 years ago
8

The base of a hexagonal prism has an area of 30 square millimeters. The height of the prism is 6 millimeters. Find the volume of

the prism.
Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

180 cubic millimeters

Step-by-step explanation:

The volume of a hexagonal prism can be found with the following formula:

V=\frac{3\sqrt{3}}{2} a^{2}  h

The area of a hexagon is:

A= \frac{3\sqrt{3}}{2}a^{2}

Upon, closer inspection, you'll notice that the formula for area of a hexagon is in the formula for volume of a hexagonal prism.

We already know the area of the hexagon base, so we can just plug it in into the volume formula.

V=30h

We ale aso know the height, which we can plug in.

V=30(6)

Simplify.

V=180

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Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries.
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Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

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Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

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Product of extreme = Product of mean

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Dividing both sides by 2

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Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Keywords: ratio, proportion, division

Learn more about division at:

  • brainly.com/question/10480770
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#LearnwithBrainly

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