To answer your questions, we need to know the side length of the small cubes and the dimensions of the large solid. However, since the side length is not explicitly provided in your question, I'll demonstrate the calculations using a variable \(s\) for the side length of the small cubes and a volume or dimension variable for the large solid.
Let's assume:
- The side length of each small cube is \(s\).
- The large solid is a rectangular box with dimensions \(L\), \(W\), and \(H\).
Assuming we have the dimensions or volume of the large solid, here are the steps for each part of your question:
(a) How many small cubes is the large solid made of?
To find the number of small cubes in the large solid, you would first find the volume of the large solid and then divide it by the volume of a small cube.
Number of small cubes = \(\frac{\text{Volume of large solid}}{\text{Volume of one small cube}} = \frac{L \times W \times H}{s^3}\)
(b) What is the volume of one of the small cubes?
The volume of a small cube with side length \(s\) is given by the formula for the volume of a cube:
\[ \text{Volume of one small cube} = s^3 \]
(c) What is the volume of the large solid?
The volume of the large solid (assuming it's a rectangular box) can be calculated using the formula:
\[ \text{Volume of the large solid} = L \times W \times H \]
If you supply the exact values for \(s\), \(L\), \(W\), and \(H\), we can calculate specific numerical answers. Please provide these dimensions for accurate calculations.