Question

rosa bought a set of building blocks for her younger brother, owen, for his birthday. owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. each block is a cube that is 1 1/2 inches along each edge. what is the volume of owens tower? cubic inches

Explanation:

Step1: Find volume of one block

The volume formula for a cube is $V = s^3$, where $s$ is the side - length. Given $s = 1\frac{1}{2}=\frac{3}{2}$ inches. So, $V_1=(\frac{3}{2})^3=\frac{3^3}{2^3}=\frac{27}{8}$ cubic inches.

Step2: Find volume of the tower

The tower is made of 35 blocks. So the volume of the tower $V = 35\times V_1$. Substitute $V_1=\frac{27}{8}$ into the formula: $V = 35\times\frac{27}{8}=\frac{945}{8}=118.125$ cubic inches.

Answer:

$118.125$