Ask question

Ask question

All categories

3 years ago

10

juanita covered the outside of a gift box shaped like a rectangular prism with the paper .The box is 3.2 feet long and 2.1 feet

wide and 2.7 feet high what could be the closest to the total to the surface area

1 answer:

finlep [7]3 years ago

7 0

The approximate answer would be 18.144, but if you round it from the tenths place it would be 18.

You might be interested in

Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).

navik [9.2K]

That’s a lot of money. that’s literally $5,550 a day

5 0

2 years ago

If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .

The area (in square inches) of the circle that the hexagon did not cover would be:

$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

3 0

3 years ago

A rare collectible coin was purchased in 1997 for $13,250. Its value has increased by 19% per year. How much would the coin be w

Norma-Jean [14]

Answer:

15767.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help and if ur helpful enough there’s like a bunch of questions I need answered on my page :P have a good one!

____ [38]

1/5 x 105 = 21
1/5 x 75 = 15

6 0

3 years ago

Read 2 more answers

12 = x • 3<br><br> How to solve?

liberstina [14]

The value of x is 4
so it says that 3 times __ equals 12.
so that means that u have to do 12/3 Wi-Fi i equals 4, so that is how u do it

hope this helps!!

8 0

3 years ago