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
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Step-by-step explanation:
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
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Therefore, Option (2) will be the vertex form.