Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
Two quantities can be compared by a ratio. As a fraction in the simplest form, a typical manner of expressing a ratio. If you compare the two numbers with distinct measuring units, this type of ratio is known as a rate. A rate is unit rate when it is 1. A rate is unit rate.
Step-by-step explanation:
Step 1. Convert 3 1/4 to an improper fraction.
3 * 4 + 1/4 - 1 5/8
Step 2. Simplify 3 * 4 to 12
12 + 1/4 - 1 5/8
Step 3. Simplify 12 + 1 to 13
13/4 - 1 5/8
Step 4. Convert 1 5/8 to an improper fraction.
13/4 - 1 * 8 + 5/8
Step 5. Simplify 1 * 8 to 8
13/4 - 8 + 5/8
Step 6. Simplify 8 + 5 to 13
13/4 - 13/8
Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8
LCD = 8
Step 8. Make the denominators the same as the LCD
13 * 2/ 4 * 2 - 13/8
Step 9. Simplify. Denominators are now the same
26/8 - 13/8
Step 10. Join the denominators
26 - 13/8
Step 11. Simplify
13/8
Step 12. Convert to a mixed fraction
1 5/8
C. is the answer because -159 is a rational number
