To solve the questions, let's first find out the volume of one small cube and then determine how many small cubes are in the large solid.
(a) How many small cubes is the large solid made of? To determine how many small cubes are used in the large solid, we need to know the dimensions of the large solid (length, width, height) in terms of how they relate to the 14 cm small cubes. Since we don't have the dimensions of the large solid, we cannot conclusively answer this part without that information.
(b) What is the volume of one of the small cubes? The volume \( V \) of a cube can be calculated using the formula: \[ V = \text{side length}^3 \] For one small cube with a side length of 14 cm, the volume is: \[ V = 14 , \text{cm} \times 14 , \text{cm} \times 14 , \text{cm} = 14^3 , \text{cm}^3 \] Calculating \( 14^3 \): \[ 14^3 = 14 \times 14 \times 14 = 196 \times 14 = 2744 , \text{cm}^3 \] So, the volume of one small cube is 2744 cm³.
(c) What is the volume of the large solid? To determine the volume of the large solid, we would typically multiply the number of small cubes it contains by the volume of one small cube. However, since we don’t have the dimensions of the large solid or the necessary information to calculate the number of small cubes, we cannot provide a specific numerical answer for this part either.
In summary, we can only definitively answer part (b):
- (b) Volume of one small cube: 2744 cm³.
For parts (a) and (c), we will require more information. If you have the dimensions of the large solid or any other relevant information, please provide that for further assistance!