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3 years ago

The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?

Mathematics

1 answer:

Finger [1]3 years ago

3 0

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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timama [110]

Answer:

8√13 units

Step-by-step explanation:

We use the distance formula.

The distance formula states that the distance between two points (x, y) and (a, b) is equal to:

d = $\sqrt{(x-a)^2+(y-b)^2}$

Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:

d = $\sqrt{(x-a)^2+(y-b)^2}$

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The answer is thus 8√13 units.

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In some gymnastics meets, the score given to a gymnast is the mean of the judgesâ€™ scores after the highest and lowest scores h

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Using the median concept, the correct statement is given as follows:

Her median score does not change.

<h3>What is the median of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, also called the middle value the data-set, not being affected by outliers.

For this problem, the data-set is given as follows:

7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00.

There are 8 scores, hence the median is the <u>mean of the 4th and the 5th</u> scores, as follows:

(7.75 + 8)/2 = 7.875.

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7.50, 7.75, 7.75, 8.00, 8.00, 8.00.

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(7.75 + 8)/2 = 7.875.

Same median, hence the correct option is:

Her median score does not change.

More can be learned about the median of a data-set at brainly.com/question/23923146

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