Answer:
<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>
Step-by-step explanation:
The volume of a rectangular prism of length L, width W, and height H is given by:
V=LWH
The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:
The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:
V=5*3*6=90\ cubes
Since each cube has a volume of :
Expressing as a mixed fraction:
Answer: C.Fraction 11 and 1 over 4 cubic inches
Let be "x" the number of colored pencils in the box.
According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.
Knowing this information, you can set up the following equation:
Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:
The answer is: There are 31 colored pencils in the box.