Question

toby created a sculpture for art class using different - sized cubes. the smallest cube is 1.5 inches along each edge. the largest cube is 7.5 inches along each edge. how many of the smallest cubes would it take to fill the largest cube? cubes

Explanation:

Step1: Calculate volume of small cube

The volume formula for a cube is $V = s^3$, where $s$ is the edge - length. For the small cube with $s_1=1.5$ inches, $V_1=(1.5)^3 = 1.5\times1.5\times1.5=3.375$ cubic inches.

Step2: Calculate volume of large cube

For the large cube with $s_2 = 7.5$ inches, $V_2=(7.5)^3=7.5\times7.5\times7.5 = 421.875$ cubic inches.

Step3: Find number of small cubes

To find the number of small cubes needed to fill the large cube, divide the volume of the large cube by the volume of the small cube. Let $n$ be the number of small cubes. Then $n=\frac{V_2}{V_1}=\frac{421.875}{3.375}=125$.

Answer:

125