Question

This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.

2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units.

Which expression represents the volume, in cubic units, of the composite figure?

One-half (One-third (5) (0.25) (2) )
One-half (One-third (5) (0.25) (4) )
2(One-third (5) (0.25) (2) )
2

Answer 1

Volume of one pyramid = (1/3)·(base area)·height = (1/3)·(5·0.25)·2. For two identical pyramids, multiply by 2:

2·(1/3·5·0.25·2).

This expression equals 5/3 cubic units. So the correct choice is 2(One-third (5) (0.25) (2)).