Ask question

Ask question

All categories

2 years ago

11

Determine the total surface area of each right triangle-based prism

1 answer:

levacccp [35]2 years ago

8 0

Answer:

small prism: 630 m²
large prism: 2520 m²

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

small prism: 630 m²
large prism: 2520 m²

You might be interested in

Enrique is a library volunteer. On Saturday he shelved 240 books in one hour. At this rate how many books did he shelve in one m

alexandr1967 [171]

Answer is 4 books per minute. 240 (books) divided by 60 (minutes in one hour) equals 4

8 0

3 years ago

Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2

sergey [27]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond$

Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond$

<u>Point-slope form</u>:-

$\sf{y-y_1=m(x-x_1)}$

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

$\sf{y-1=2(x-0)}$

So we conclude that Option B is correct.

<h3>Good luck.</h3>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

3 0

2 years ago

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

Alekssandra [29.7K]

Using the law of sines:

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Solve for b:

$\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}$

Answer:

7.708

5 0

11 months ago

The box plots shows the length of the songs on 2 diggital music players in minutes which statement best supported by the informa

NISA [10]

Answer:

You have to go on a cite called Math and Way buth without the and and no space between math and way

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

strojnjashka [21]

Answer:

1 and 15

Step-by-step explanation:

8-7=1

8+7=15

3 0

2 years ago