16. Using Triangles: Regular Square Pyramid

In the square pyramid shown below, the area of each triangle is 135 square meters and the area of the base is 324 square meters. What is the height of the pyramid?

12 meters

Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. SY =

3

Given the regular square pyramid with RS = 6 and PX = 4, then XY= ___.

3

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. XT =

3^2

Given a regular square pyramid with RS = 6 and PX = 4, find PY.

5

Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. ST =

6

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. QS =

6^2

Select the lateral edges.

PC PX PA PB PD

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Slant height will be hypotenuse, and height will be perpendicular & base. We know, base diagonal = √2 * base So, 16√2 = √2 * b b = 16 Now, substitute it into the expression: h² = 7² + 16² h² = 49 + 256 h = √305 h = 17.5 [ To nearest tenth ] So in short the answer is 17.5 cm

Is PB > PY?

no

What solid will this lesson focus on?

regular square pyramid

Can all edges have the same length?

yes

Does PY = PZ?

yes

Is PXY = PXZ

yes

Must the slant height be greater than the altitude?

yes