Question

warm - up
a board game has a house - shaped playing piece in the form of a square pyramid on top of a cube, as shown in the image. what is the volume of the piece?
type the correct answer in the box. use numerals instead of words.
volume of playing piece: cm³

Explanation:

Step1: Calculate cube volume

$V_{cube}=3\times3\times3 = 27$ cm³

Step2: Calculate pyramid volume

$V_{pyramid}=\frac{1}{3}\times3\times3\times3 = 9$ cm³

Step3: Calculate total volume

$V = V_{cube}+V_{pyramid}=27 + 9=36$ cm³

Answer:

36