maths question

[SPIRIT]

what is the formula to find out the height of a pyramid? (USING PYTHAGORAS)


the length of each side is 10
and the length of each side of the square is 8

[watson]

what is the formula to find out the height of a pyramid? (USING PYTHAGORAS)


the length of each side is 10
and the length of each side of the square is 8

Sorry arty,
That all doesn't make sense to me ....yet

[SPIRIT]

a drink container, in the shape of a box, measures 20cm by 10 cm by 4 cm. how long must a drinking straw be so as to reach 5 cm out of the box???

[Sleeping Dog]

I'm reading that the the square base measures 8 on a side, and the length from the base corner to the apex is 10...? is this correct Arty??

[Ivan in Oz]

How about 8.246

[Ivan in Oz]

Or is this for an assignment,
then you will require the workings

[watson]

G'day sleepingDog,
Arty, is this what you mean???

[Blocklayer]

Have a go at this for the trig calculations

http://www.visualtrig.com

To get the height of a 4 sided pyramid from side lengths and length up corner, work out the triangles.

Draw the 2 diagonals across the square base. The distance from a corner to the center point, is the Base of the triangle (use visualtrig). The Diagonal of the triangle is the length up the pyramid at the corner (10 ?)
Enter these 2 values into visualtrig and it will show the height and formulas to calculate it.

.

[ian]

what is the formula to find out the height of a pyramid? (USING PYTHAGORAS)


the length of each side is 10
and the length of each side of the square is 8

you have a square pyramid.
you measure the height using triangles
let the distance to the centre of the square from one corner be A, you have a right triangle where
A(squared) + A(squared) = 8(squared) = 64, so A(squared) = 32

then determine the height B, again using a triangle where the base is A, and the hypotenuse is 10,
again
A(squared) + B(squared) = 10(squared),
32 + B(squared) = 100
B(squared) = 100-32 = 68, therefore B is approximately 8.1


ian

[Ivan in Oz]

Where was this going?
Other than to give a few headaches to some

Oh!!

B(squared) = 100-32 = 68, therefore B is approximately 8.1
ian

Square Root of 68 is Closer to 8.24621125123532

Rounds to 8.246

C'Mon someone else do the Straw, P L E A S E !

[ian]

a drink container, in the shape of a box, measures 20cm by 10 cm by 4 cm. how long must a drinking straw be so as to reach 5 cm out of the box???

if the straw is placed in one corner, 25cm

ian

[Wongo]

What they are trying to say is....

[Ashore]

Where was this going?
Other than to give a few headaches to some

Oh!!


Square Root of 68 is Closer to 8.24621125123532

Rounds to 8.246

C'Mon someone else do the Straw, P L E A S E !

Spot on

[Ivan in Oz]

Bit more than 25cm me thinks

27.7156cm

[Ashore]

but if the box is lying flat ie 4cm high 20cm long and 10cm wide and the hole was in the centre of the top face then the straw could be 9cm long to reach the bottom with 5cm out or 17.247 cm long to reach the furtherest corner with 5cm sticking out