Question
Use the information to answer the question. A rectangular prism has a length of 2 inches, a width of 1(1)/(2) inches, and a height of of 3.4 inches. 3(3)/(4) How many (1)/(4) Inch cubes can fit inside the rectangular prism, with no space left over?Enter the answer in the box. square
Solution
4.4
(141 Votes)
Franklin
Master ยท Tutor for 5 years
Answer
### 720
Explanation
## Step 1: Convert Mixed Numbers to Improper Fractions### Convert the width and height to improper fractions.
becomes
and
becomes
.## Step 2: Calculate the Volume### Multiply the length, width, and height to find the volume of the prism.
cubic inches.## Step 3: Calculate the Volume of a Small Cube### The volume of a small cube with side
inch is
cubic inches.## Step 4: Determine the Number of Cubes### Divide the volume of the prism by the volume of one small cube to find the number of cubes that fit.
.