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hammer [34]
3 years ago
5

A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

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nydimaria [60]

The y-coordinate of B' after the translation is -6

<h3>How to determine the y-coordinate of B'?</h3>

From the graph, the coordinate of B is given as:

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The translation T_{-3,-8}(x,y) means:

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So, we have:

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B' = -6

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7 0
1 year ago
If a pool holds 22,000 gallons, how long will it take to fill the pool at a rate of 400 gallons per minute, rounded off to the n
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8 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
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USPshnik [31]

Answer:

wheres the table can you please provide one

Step-by-step explanation:

7 0
3 years ago
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bija089 [108]
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