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

Answer:

The volume of the ornament is $6\frac{2}{3}\ in^{3}$

Step-by-step explanation:

we know that

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

so

$V=2[\frac{1}{3}b^{2} h]$

we have

$b=2\ in$

$h=2.5\ in$

substitute

$V=2[\frac{1}{3}(2)^{2} (2.5)]$

$V=\frac{20}{3}\ in^{3}$

Convert to mixed number

$\frac{20}{3}=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ in^{3}$