What is the volume of this triangular prism

What Is The Volume Of This Triangular Prism

Answers

Answer 1

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³


Related Questions

If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False​

Answers

Answer:

True

Step-by-step explanation:

The Answer is 75.36 cm

2 x (pi)3.14 = 6.28

6.28 x (r)3 = 18.84

18.84 x (h)4 = 75.36

The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.

What is cylinder?

"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."

Formula to calculate the area of the lateral surface of a cylinder:

For a cylinder with radius r and height h,

the curved / lateral surface area is,

A = 2 × π × r × h

Given: r = 3 cm, h = 4 cm

Using the formula for area of lateral surface of a cylinder:

⇒ A = 2 × π × 3 × 4

⇒ A = 24 × π

⇒ A = 24 × 3.14

A = 75.36 sq.cm.

Therefore, given statement is true.

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a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:

A. 1728π cubic units
B. 288π cubic units
C. 144π cubic units
D. 432π cubic units

Answers

D which means you add 12 plus 12

Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.

Answers

Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.

Step-by-step explanation:

A. 35
B. 96
C. 51
D. 80

Answers

I think it would be A

Answer:

Its D

Step-by-step explanation:

Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
True
O False

Answers

Answer:

Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.

it's false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.

Answers

Answer:

P=34ft

Step-by-step explanation:

Solution

P=2(l+w)=2·(12+5)=34ft

Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z​

Answers

The intersection of plane A and line m can be describes as line m .

What is reflectional symmetry?

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

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Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?

Answers

5 oz. Hope this helped!

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

What is 8% of 200?
4
16
25
Done

Answers

Answer:

16

Step-by-step explanation:

8% of 200 is 16

Answer: 16

Explanation: That's an i-Ready Diagnostic!! Heh...

What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I need this please help me

Answers

Answer:

A. Right 6, Down 5

Step-by-step explanation:

I don't know how to explain this

Volume answer rn djdjd

Answers

Answer:

133.7π cm^3 or approximately 418.77430072 cm^3.

Step-by-step explanation:

For the cylinder half, use the formula: π*r^2*h, or pi times radius squared times height.

Since the diameter is 8, which means the radius is 4, and the height is 6, the volume of the cylinder would be 96π or 301.59289474...

For the cone on top, use the formula 1/3 (π*r^2*h), or one third pi times radius squared times height. Don't forget to calcuate the part in parentheses before dividing it by three.

Because the overall height was 13, you can subtract the 6 from the cylinder to get the cone's height. It has a height of 7 and a radius of 4 just like the cylinder. The volume of the cone is 112π/3 or 37.3π.

Now add both volumes together to get 133.7π cm^3 or approximately 418.77430072 cm^3.

find the difference between 0.1 kg and 75g​

Answers

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

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The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp

Show work please

Answers

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?

Answers

Answer:

I think it depends how far bill wants to hike..

Step-by-step explanation:

Took him 0.625 hours
OR
37 minutes and 30 seconds

Find the exact value of sin A in simplest radical form.

Answers

Using the sine rule,

[tex] \frac{a}{sin(a)} = \frac{b}{sin(b)} = \frac{c}{sin(c)} [/tex]

Here we are going to use the values of A and C,

[tex] \frac{12}{sin(a)} = \frac{14}{sin(90)} \\ \frac{12}{sin(a)} = \frac{14}{1} \\ sin(a) = 12 \div 14 \\ sin(a) = 0.8571[/tex]

So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be

[tex] \frac{ \sqrt{3} }{2} [/tex]

Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

A circle has a diameter of 10 centimeters.

What is the best approximation of its area?

Use 3.14 to approximate for π.


15.7 cm²

31.4 cm²

78.5 cm²

314 cm²

Answers

Answer:

78.5 (please put brainliest)

Step-by-step explanation:

r = diameter / 2 = 5

area = π * r^2 = 25 * 3.14 = 78.5

Answer:

78.5 m^2

Step-by-step explanation:

What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?

Answers

The answer is 124.79 centimeters
Rounded to the nearest tenth It’s 124.8

PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.

Answers

Answer:

54 square ft

Step-by-step explanation:

Find missing sides:

8+6 = 14

9-6 = 3

Find area of full rectangle:

9×8 = 72

Find the area of the missing part of the full rectangle

3×6 = 18

Find the area of the actual shape:

72-18 = 54

Area = 54 square ft

Which statement describes whether the function is continuous at x = 2?
O The function is continuous at x = 2 because f(2) exists.
O The function is continuous at x = 2 because lim f(x) exists.
X-2
The function is not continuous at x = 2 because f(2) does not exist.
The function is not continuous at x = 2 because lim f(x) does not equal f(2).
X-2

Answers

Answer: (b)

Step-by-step explanation:

Given

The function is given as

[tex]f(x)=\dfrac{x^2-12x+20}{x-2}[/tex]

Solving the function

[tex]f(x)=\dfrac{x^2-2x-10x+20}{x-2}\\\\f(x)=\dfrac{(x-2)(x-10)}{(x-2)}\\\\f(x)=x-10[/tex]

for [tex]x=2[/tex]

[tex]f(2)=2-10\\f(2)=-8[/tex]

The function is continuous at [tex]x=2[/tex] because [tex]\lim_{x \to 2} f(x)[/tex] exists.

If the limit exists at a point, then the function is continuous.  

Answer:

on edge its fs not b or c

Step-by-step explanation:

What is the absolute value of a number?

Answers

Answer:

It is the distance from the zero on a number line. Also, it is never negative.

Step-by-step explanation:

1+1 why does my dog not love me?

Answers

Answer:

2

Step-by-step explanation:

your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you

can someone help me :(

Answers

Answer:

A is the correct answer

.......................

Answer:

A. y+116+30=180

Step-by-step explanation:

A straight angle is 180°.

all the given angles make up a straight angle, so they add to 180°.

Caroline has a rock stuck in her Jeep’s tire

Answers

Answer:

oh no

Step-by-step explanation:

sorry about that I guess

160% of what number 56?

Answers

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35