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dsp73
3 years ago
8

What is the volume of this prism?

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Answer:

144 cm^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is <em>l x w x h. </em>

Here, the length is 4, the width is 4, and the height is 4.

4 x 4 x 9 =

16 x 9 =

144 cm^3

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Otrada [13]

Answer:

You buy plans in brainly.

Step-by-step explanation:

6 0
2 years ago
Can you help me find the volume base area latera area and total area please to this problem
krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\pi r^2\\= \pi ( 5 )^2\\= 25\pi - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

25\pi + 25\sqrt{2} \pi - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi- Volume = 41 and 2 / 3π

8 0
3 years ago
Kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years
diamong [38]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the details :

Kofi is older than kweku

kofi's age = (5x-4) years

kweku's age = (2x+1) years

a. write down an expression, interns of x,for how much old is Kofi than kweku

Equate the ages of Kofi and kweku

(5x - 4) = (2x + 1)

5x - 4 = 2x + 1

5x - 2x = 1 + 4

3x = 5

3x - 5

B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Then,

(5x-4) = (2x + 1) + 10

5x - 4 = 2x + 1 + 10

5x - 2x = 1 + 10 + 4

3x = 15

x = 5

Kofi's age : 5x - 4

5(5) - 4 = 25 - 4 = 21 years

Kweku's age : (2x + 1)

2(5) + 1 = 10 + 1 = 11 years

6 0
3 years ago
PLEASE HELP!!!!!!!!!!! I SUCK AT MATH AND I CAN'T FIGURE THIS OUT!
nikdorinn [45]

Answer:

$25.97

Step-by-step explanation:

2.50+8.75+3+10.25 = 24.50    This is the items be bought and now needs to pay 6% tax.

24.50/100*106 = 25.97

8 0
3 years ago
Read 2 more answers
Which three types of transformations result in congruent shapes?
Aleks [24]

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

6 0
3 years ago
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