The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
1 answer:
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
You might be interested in
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
