Question

The ornament below is composed of two congruent square pyramids. Each square pyramid has base side lengths of 2 inches and a height of 2.5 inches.

What is the volume, in cubic inches, of the ornament?

Answer 1

C

Explanation:

Answer 2

The volume of the ornament is
`6(2)/(3)\ in^(3)`

Explanation:

we know that

The volume of the ornament is equal to the sum of the volume of the two congruent square pyramids

so

`V=2[(1)/(3)b^(2) h]`

we have

`b=2\ in`

`h=2.5\ in`

substitute

`V=2[(1)/(3)(2)^(2) (2.5)]`

`V=(20)/(3)\ in^(3)`

Convert to mixed number

`(20)/(3)=(18)/(3)+(2)/(3)=6(2)/(3)\ in^(3)`