Question

Sandra starts to pack cubes with side length inch into Rectangular Prism A. Then, she measures the dimensions of Rectangular Prism B.
Use the diagram to answer the questions.
Which rectangular prism will hold more cubes with side length inch? Enter A or B.
Which rectangular prism has a greater volume? Enter A or B.
How many more cubes can be fit into the larger prism than the smaller prism? cubes with side length inch

Answer 1

Answer:

• A holds more
• A has greater volume
• 24 cubes

Step-by-step explanation:

In terms of cube size, the dimensions of prism A are ...

  3 cubes high by 6 cubes wide by 4 cubes deep

The dimensions of prism B are ...

  3 cubes high by 8 cubes wide by 2 cubes deep

The volume of each prism (in cubes) is the product of these dimensions:

  Va = 3×6×4 = 72 . . . cubes

  Vb = 3×8×2 = 48 . . . cubes

__

(a) Prism A holds more cubes

(b) Prism A has a larger volume (which is why it holds more cubes)

(c) The difference in volumes is ...

  72 cubes - 48 cubes = 24 cubes