Posted by **Joe** on Saturday, February 11, 2012 at 2:27am.

OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid, the volume of the pyramid, and the total surface area of the pyramid by first drawing the net of the pyramid.

- Mathematics -
**Anonymous**, Saturday, February 11, 2012 at 4:31am
sqrt ( 15 ^ 2 - 12 ^ 2 ) = sqrt ( 225 -144 ) = sqrt ( 81 ) = 9 cm

- Mathematics -
**Reiny**, Saturday, February 11, 2012 at 8:34am
Draw one of the side triangles, and consider its altitude from the base of 12, call that x

x^2 + 6^2 = 15^2

x^2 = 19

x =√189

so the surface area = the base + 4triangles

= 144 + 4(1/2)(12)(√189) = ....

for the volume , we need the height of the pyramid,

call it h

h^2 + 6^2 = (√189)^2

h^2 = 153

h = √153

volume = (1/3)(base)(height)

= (1/3)(144)(√153

= 48√153

- Mathematics -
**Mosetsana**, Monday, September 14, 2015 at 11:36pm
A right pyramid has a square base 6cm by 6cm and each face has a slant height of 5 cm. Calculate the height of pyramid

## Answer This Question

## Related Questions

- Maths - OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
- Maths - OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
- MATH! PLEASE REPLY ASAP! - OPQRS is a regular square-pyramid whose base has ...
- Maths - Solve the equation:a right pyramid with vertical height stand on ...
- Math - VWXYZ is a rectangle-based pyramid where WX = 66 cm and XY = 32 cm. The ...
- math - looking at a square pyramid, if the size of the base remains the same and...
- geometry - A pyramid has a square base with sides length of b. The height of the...
- geometry - The base of a pyramid is a square. The perimeter of the base is 20ft...
- MATH! PLEASE REPLY ASAP! - VWXYZ is a rectangle-based pyramid where WX=66 cm ...
- Math Homework - 1) Given the side of a square pyramid is 6cm and the altitude is...

More Related Questions