Question

30 POINTS PLEASE ANSWER ASAP!! The dimensions of a rectangular prism are shown below: Length: 2 1/4 Width: 1 foot Height: 1 1/4 The lengths of the sides of a small cube are 1 /4 foot each. Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points) Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

Answer 1

84 cubes

Explanation:

Given,

The dimension of the rectangular prism are,

Hence, the volume of the prism,

Now, the volume of a cube = side³,

If side = ft,

Then the volume of each cube,

Hence, the number of cubes that can be packet in the prism