a manufacturer makes right triangular prisms like the one shown for refracting light. They will be packed in boxes 12.5 cm long, 2.5 cm wide and 22.5 cm high. How many prisms can fit the box?
27
To determine how many prisms can fit inside the given box, you need to calculate the volume of the box and the volume of a single prism, and then divide the volume of the box by the volume of a prism.
First, calculate the volume of the box:
Volume of the box = length × width × height
Volume of the box = 12.5 cm × 2.5 cm × 22.5 cm
Next, calculate the volume of a prism:
To calculate the volume of a right triangular prism, you need the base and height of the triangular face and the length of the prism. However, the measurements for the prism are not provided in the question. Please provide the measurements of the prism or clarify if you need assistance determining the volume without the measurements.