Question

A rectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) How many cubes with side lengths of 1 2 in. will fit into the prism? Show your work or explain your thinking! (b) What is the volume of this prism? Write your answer as a simplified mixed number. Show ALL of your work!

Someone please help will give brainliest (50 pts)

Answer 1

V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³

Divide the volume of rectangular prism by the volume of the cube.

7488 / 1728 = 13 / 3 or 4.3. . .

Answer 2

V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³
Divide the volume of rectangular prism by the volume of the cube.