Mathematics High School




Find the volume of the triangular prism in the picture shown. Round your answer to the
nearest tenth. *

1: 167
2:77.3 yd
3: 77 yd²

Find The Volume Of The Triangular Prism In The Picture Shown. Round Your Answer To Thenearest Tenth.

Answers

Answer 1

Given:

A figure of a triangular prism.

Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

[tex]V=Bh[/tex]              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]

[tex]B=2\times \dfrac{29}{3}[/tex]

[tex]B=\dfrac{58}{3}[/tex]

Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get

[tex]V=\dfrac{58}{3}\times 4[/tex]

[tex]V=\dfrac{232}{3}[/tex]

[tex]V=77.33...[/tex]

[tex]V\approx 77.3[/tex]

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

Related Questions

Someone pls help. Write the equation in standard form

Answers

Answer:

Step-by-step explanation:

Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).

Therefore, equation of the quadratic relation will be in the form of,

y = a(x - 5)(x - 6)

For (0, 30),

30 = a(0 - 5)(0 - 6)

30 = 30a

a = 1

Therefore, equation will be,

y = (x - 5)(x - 6)

y = x² - 11x + 30

y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30

y = (x - 5.5)²+ 30 - 30.25

y = (x - 5.5)² - 0.25 [Standard form}  

b). Vertex → (-4, -7) and passes through a point (-2, 1)

Vertex form or standard equation of the quadratic relation is,

y = a(x - h)² + k

Here, (h, k) is the vertex

Therefore, equation will be,

y = a(x + 4)² - 7

Since, (-2, 1) lies on this relation

1 = a(-2 + 4)² - 7

a(2)²- 7 = 1

4a = 8

a = 2

Equation will be,

y = 2(x + 4)²- 7

HELP PLEASE

x^2-2x-5

Answers

Step-by-step explanation:

the answer for this question is -6x

The answer for this question is is -6x

Please help will give Brainliest

Answers

The answer is C

Hope this helps

What is the probability of rolling a 2 or 6 on a six-sided number cube?

Answers

Answer:

likely .

Step-by-step explanation:

Answer:

2 out of 6 chance

Step-by-step explanation:

can someone please help me with this?

Answers

The answer is 3y=-9x-6

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

6 of the squares/tiles

8/9 times 45 in simplest form

Answers

Answer:

40

Step-by-step explanation:

8/9 x 45 = 8 x 5 = 40

Hope that helps!

Answer:40

Step-by-step explanation:

6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
A)22 cm
B)66 cm
C)198 cm
D)288 cm

Answers

Answer:

D 288cm

Step-by-step explanation:

6x4x12 = 288cm

Which expression represents
60
6060 divided by the product of
4
44 and
3
33?
Choose 1 answer:
Choose 1 answer:

Answers

6060 divided by the products

Answer:

6060 divided by the product of 4

Step-by-step explanation:

please help me! :(
i'll mark you brainliest <3 20 point
(maths)

Answers

Answer: a) 4 b) you could make up to 8 liters

Step-by-step explanation:

Answer:

See Below! :)

Step-by-step explanation:

The answer to a is just 1.5 x 8

The answer to b is no

Hope this Helps! :D

whats the gcf of 36 and 96??? suoer confused on this one too :(

Answers

Answer:

12! Hope this helped

Step-by-step explanation:

What's the answer to 1.6(2.5-10)+8.2=???

Answers

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

Wayne spends 1/6th of an hour walking his dog. How much time does Wayne spend walking his dog in a week? *

Answers

Answer:

10 minutes

Step-by-step explanation:

This is somewhat of a trick question and also incomplete.

Assuming he walks his dog 1/6th of an hour each week, he walks his dog 10 minutes per week.

If this is incorrect please tell me the complete question

What is the slope of the line that goes through the points (12, 5) and (7, 2)

Answers

Answer:

3/5

Step-by-step explanation:

5-2 = 3

12-7 = 5

3/5

Simplify 4.510.
a 4.51


b 1

Answers

Answer:

a

Step-by-step explanation:

Answer:

4.51

Step-by-step explanation:

i need more letters ksksksks

Decide if the answer to 9/9x 7 is less than, greater than, or more than equal to 7.

Answers

Answer:

Equal to

Step-by-step explanation:

Answer:

9/9 X 7 Equals to 7

Step-by-step explanation:

9 divided by 9 is 1.

1 X 7 = 7.

7=7 so the answer is Equal to

Help me guys

4. Find x.​

Answers

Answer:

found the x

it is sideways

it is 10x2

Step-by-step explanation:

2x + 1

89°

and 10x2

hat is the slope and y-intercept of the linear function?

y = -8x + 2

Answers

Answer:

-8

Step-by-step explanation:

Okay so in y=mx+b equations like this one, m is the slope, so whatever number before x is the slope

Solve - 9m-4+2m= -9-7m+5, and interpret the results.

Answers

Here is your answer boy

Find the value of x.​ Will give brainliest

Answers

Step-by-step explanation:

[tex] \frac{ \sin(38) }{15} = \frac{ \sin(68) }{x} \\ x = \frac{15 \sin(68) }{ \sin(38) } = 22.58 = 22.6[/tex]

. Graham bought 45 bags of potatoes. Each bag weighed exactly 4pounds.How many pounds of potatoes did he buy?

Answers

multiply 45 by 4
=180 pounds of potatoes

Please help me
The sales tax for an item was $25.20 and it cost $420 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

25.20/420= .06. 6% sales tax

Answer:

25.20/420=.6=6%

Step-by-step explanation:

when mark was 2 years old his parents invested 2,000 in a money market account with annual average interest rate of 8% after 15 years how much money will he have in the account

Answers

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Find the missing sides

Answers

Answer:

choice b)

h = 13

g = 18.38 or 13sqrt 2

Step-by-step explanation:

tan 45 = h/13

1 = h/13

h = 13

cos 45 = 13/g

0.7071 = 13/g

g = 18.38

Which figure can be formed from the net?

Answers

first option ,, it will be the first option

Answer:

the answer is the bottom right one.

Step-by-step explanation: I took the k12 test

I bought four bags of cotton candy for $1.50 each and two soft drinks for 90 cents each. What was my change from a ten dollar bill

Answers

Answer:

Your change is $2.20

Step-by-step explanation:

4 x $1.50 = $6

2 x $.90 = $1.80

$6 + $1.80 = $7.80

$10 - $7.80 = $2.20

So it's $2.20. Have a nice day :D

Answer:

$2.20

Step-by-step explanation:

4 bags of cotton candy

$1.50 x 4 = $6.00

2 soft drinks

$0.90 x 2 = $1.80

$6.00 + $1.80 = $7.80

$10.00 - $7.80 = $2.20

Part B Isabella's mother sells the peas and gets $3 for each square foot. So, multiply your answer from Part A by 3 to calculate how much money Isabella's mother made.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the solution to part A (or part A itself) is not given. To solve this, I will assume a value to the supposes solution to part A.

From the question:

1 square foot is sold at $3.

This implies that:

p square foot will be sold at $3p.

So, total sales can be calculated using:

[tex]Total = 3p[/tex]

Now assume that p is 10 square feet (from part A).

The total will be:

[tex]Total = 3*10[/tex]

[tex]Total = \$30[/tex]

Can someone help me please?

Answers

Answer:

(0, -10), (2, 0), (-2, -50)

Step-by-step explanation:

Plug in numbers for the x and solve for it

I will start with 0

y = 5(0 - 1)^2 - 5

y = 5(-1) - 5

y = -5 - 5

y = -10

2

y = 5(2 - 1)^2 - 5

y = 5(1) - 5

y = 5 - 5

y = 0

-2

y = 5(-2 - 1)^2 - 5

y = 5(-9) -5

y = -45 - 5

y = -50

You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.

Find the value of x if b=8 and a=6

Answers

Answer:

x = 10

Step-by-step explanation:

Using the Pythagorean theorem:

8² + 6² = x²

64 + 36 = x²

x² = 100

x = 10

Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh

Answers

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

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