The number of rectangular prism container that would be set on the shelf is: 4.
<h3>What is the Volume of a Rectangular Prism?</h3>
Volume of rectangular prism = length × width ×height
Given the following:
- Volume of three containers = 135 in.³
- Volume of each rectangular prism container = 135/3 = 45 in.³
- One face = width × height = 4.5 × 2 = 9 in.
Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
Learn more about rectangular prism on:
brainly.com/question/1015291
Answer:
12m/s
Step-by-step explanation:
96/8 = 12
Hello!
Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.
Also, before graphing, it would be better to convert both equations to slope-intercept form.
y ≤ x + 1 is already in slope-intercept form.
y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)
y + x ≤ - 1 (subtract x from both sides)
y ≤ -x - 1
Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.
Answer: Part C
