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Find the surface area of the triangular prism

lesya692 [45]

The surface area of the triangular prism is 1664 square inches.

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

$SA= bh+pl$

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

$b=24$ , $h= 16$ , $l=20$ and

$p=20+20+24=64$

Hence, substituting these values in the above formula, we get,

$SA= (24\times16)+(64\times20)$

Simplifying the terms, we get,

$SA=384+1280$

Adding the terms, we have,

$SA=1664 \ square \ inches$

Thus, the surface area of the triangular prism is 1664 square inches.

6 0

2 years ago

Please help ♡♡♡♡♡♡♡

lions [1.4K]

Step-by-step explanation:

$\angle AOB$ and $\angle BOC$ are linear pair angles.

$\therefore m\angle AOB + m\angle BOC = 180° \\ \therefore \: 3x + 124 \degree + 6x + 29 \degree = 180° \\ \therefore \: 9x + 153 \degree = 180° \\ \therefore \: 9x = 180° - 153 \degree \\ \therefore \: 9x = 27 \degree \\ \therefore \:x = \frac{27 \degree }{9} \\ \huge \pink{ \boxed{\therefore \:x =3 \degree }} \\ \\ \because \: m\angle BOC =6x + 29 \degree \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree \\ \therefore \: m\angle BOC = 18\degree + 29 \degree \\ \\ \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree }}$

5 0

3 years ago

Find the probability of a least one birthday match among a group of 44 people.

Cerrena [4.2K]

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

3 0

3 years ago

The pentagons ABCDE and JKLMN are similar find the length x of JK

never [62]

The second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

3 0

2 years ago

Read 2 more answers

Ticketd to the school play cost $11 for adults and $6 for children. What expression can be used to find the toyal cost for x adu

Makovka662 [10]

Answer:221

Step-by-step explanation:

4 0

3 years ago