A square pyramid with a height of 7 inches has volume of 47.25 cubic inches. Find the side length of the square base

1 answer:

7 0

Hello,
Volume of the square pyramid=
1/3×B×h where B represent Base and h represent height

Now, substitute the information that we had from this problem into the formula.
47.25=1/3×B×7
Times 3 from both side
141.75=7B
Divide B from both side
B=20.25 square inches
B=s^2
Square root it to get
s=4.5 inches. As a result, the side length of square base is 4.5 inches. Hope it help!

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EXTREMELY URGENT GEOMETRY! 15 POINTS!<br><br> PLEASE HELP

zhenek [66]

Answer:

20.3 units

Step-by-step explanation:

AB/CB = BD/AB

9/CB = 4/9

CB = 9×9/4

CB = 81/4 = 20¼ units

20.25 (20.3 units correct to 1 dp)

7 0

3 years ago

Can someone help me please

aleksklad [387]

9514 1404 393

Answer:

IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

B +D = (-2+6, -9-3) = (4, -12)

C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)