Question

A right rectangular prism has these dimensions:


Length: 1 1/2 units

Width: 1/2 unit

Height: 3/4 unit


How many cubes of side length 1/4 unit are required to completely pack the prism without any gap or overlap?

A. 36
B. 45
C. 51
D. 60

Answer 1

Answer:

A

Step-by-step explanation:

36 a is the correct answer

Answer 2

Answer:

Option A, 36 is correct.

Step-by-step explanation:

Given data:

Length of the rectangular prism

= 1 1/2 units = 3/2 units,

width of the rectangular prism

= 1/2 unit and

height of the same

= 3/4 unit

Therefore volume of the rectangular prism

= (3/2 * 1/2 * 3/4) cubic units

= 9/16 cubic units

Also given that each side of the cube is 1/4 unit

So the volume of the cube

= 1/4 * 1/4 * 1/4 cubic units

= 1/64 cubic units

Therefore the number of cubes required to pack the prism without any gap is

= volume of the rectangular prism / volume a cube

= (9/16) / (1/64)

= ( 9 * 64) / 16

= 9 * 4

= 36