Question

Look at the two-dimensional net shown.

A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.

Which statements are true?
Check all that apply.
The solid formed by the net will be a rectangular pyramid.
The solid formed by the net will be a square pyramid.
All four triangular faces have an area of 12 m2.
There are two sets of opposite congruent triangular faces.
The base has an area of 30 m2.

Answer 1

Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.