All categories

2 years ago

Find the surface area of the prism below. Please see the attachment and a. 108cm ^2 is incorrect. Thanks!

Mathematics

1 answer:

creativ13 [48]2 years ago

5 0

Answer: OPTION B

Step-by-step explanation:

To solve this problem you must add the areas of each rectangle that form the prism;

The area of a rectangle can be calculated with the formula:

$SA=length*width$

There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:

$SA_{prism}=2(6cm*2cm)+2(3cm*6cm)+2(3cm*2cm)=72cm^{2}$

You might be interested in

There were 10 cards in a bag labeled 0-9 what is the probability of drawing a 3 and then a 5 if the first card is not replaced b

serg [7]

Answer:

1/9 chance

Step-by-step explanation:

6 0

2 years ago

Simplify 8 3/4 plus 9 2/8

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

8 3/4 + 9 2/8

We can simplify 2/8 by dividing the top and bottom by 2

8 3/4 + 9 1/4

Add the whole numbers

8+9 = 17

3/4 + 1/4 = 4/4 = 1

Add this to the whole numbers

17+1 = 18

8 0

3 years ago

What is the distance between coordinates (-6.25,5) and (-3.75,2)

Oksi-84 [34.3K]

Answer:

$\sqrt{15.25}$

Step-by-step explanation:

To find the distance, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the points (-6.25,5) and (-3.75,2)

$d=\sqrt{(-6.25-x_1)^2+(5-y_1)^2}\\d=\sqrt{(-6.25-(-3.75))^2+(5-2)^2}\\d=\sqrt{(-6.25+3.75)^2+(5-2)^2}\\d=\sqrt{(-2.5)^2+(3)^2}\\d=\sqrt{6.25+9}\\d=\sqrt{15.25}$

Therefore, the distance between the two coordinates is $\sqrt{15.25}$ , or approximately 3.91.

I hope this helps!

6 0

2 years ago

What is the surface area of the square pyramid below?

Reika [66]

The surface area of square pyramid is the sum of the area of all its sides.

If l is the slant height and base is s each then surface area of pyramid is given by:

Surface area = s2+2xsx l

From the given figure in the question:

S=6 cm ,l= 8cm.

Substituting these values in surface area formula we have:

Surface area = 62+2x6x8

Surface area = 36+96

Surface area =132cm2

6 0

3 years ago

What is the perimeter of a square which has the same area as a circle with circumfrence of 4π

Kruka [31]

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

8 0

2 years ago