Calculate the value of this

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism

Answer:

£18.2

Step-by-step explanation:

4.5 kg = 4.5 * 1000 = 4500 g

Sharing in the ratio :

Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively

Sum of ratio = (4 + 2 + 3) = 9

Chocolate = 4/9 * 4500 = 2000 g

Peanut butter = 2/9 * 4500 = 1000 g

Crisped rice = 3/9 * 4500 = 1500 g

1 bar of chocolate = 200 g at 2.50

2000/ 200 * 2.50 = £25.0

1 jar of peanut butter = 250 g at 1.70

1000 / 250 * 1.70 = £6.8

1 packet of crisped rice = 300g at 2

1500 / 300 * 2 = £10

Total cost of ingredients = £(25+6.8+10) = £41.8

Number of pieces of chocolate squares made = 100

Selling price per square = 60p = £0.6

Total revenue made = £0.6 * 100 = £60

Profit realized = £(60 - 41.8) = £18.2

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Total girls

= 12 + 18

= 30

Girls who prefer soccer =

12

Percentage =

12/30

= 0.4

= 40%

Answer: 2x and x2 are the same

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Answer:

87.92 cubic inches

Step-by-step explanation:

to find the volume of a cylinder the formula is V = [tex]\pi[/tex][tex]r^{2}[/tex]h

so first i squared 2

2x2= 4

i then multiplied 4 by the height (7)

4x7 = 28

then times 28 by pi (3.14)

28x 3.14 = 87.92

The volume of cylinder is  87.92 cubic inches

volume :

volume is the amount of space in a certain 3D object.

formula used to  find the volume of cylinder :

V  =  π × r^2 × h

as given ,

r = 2 inch

h = 7 inch

so ,

V = π × (2)^2 × 7

⇒  π  × 28

V =  87.92 cubic inches

Hence , the volume of cylinder is  87.92 cubic inches .

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Answer:

-2 power.

Step-by-step explanation:

The new length, width, and the height are (L+2) inches, (W+2) inches, and (H+2) inches respectively

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.

Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space.

So the new length = (L+2) inches

New width = (W+2) inches

New height = (H+2) inches

Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.

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Answer:

B

Step-by-step explanation:

YOu have 1 and 5 two numbers you but the 2 over the 6 and you get 2/6 simplify that and you get 1/3 which is B

Answer: 15+3

Step-by-step explanation:

Answer:

a is the answer

hope this will help you

Answer true

Step-by-step explanation:

Answer:

Correct option is

False

Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.

Hence, the two triangles are not congruent.

The given statement is false.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.

In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).

In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).

In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).

Therefore, the relationship between x and y is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Using the points (0, 2000) and (2, 4000):

[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]

Answer:

Step-by-step explanation:

Answer:

X = -32/11

Step-by-step explanation:

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation: .

Answer:

πr

Step-by-step explanation:

We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,

=> 2πr/2

=> πr

Answer:

58 inches

Step-by-step explanation:

Just did it

Answer:

( A ) p 3 x

Step-by-step explanation:

Answer: i would say 16 so b 16

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4 x 5 = 20

Answer: 112.5 cm3

Hope that helped!

Answer:

the answer is 112.5 cm3

Step-by-step explanation:

on edg

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Answer:

[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]

Step-by-step explanation:

(Look at the picture).

Calculate the area of the rectangle and subtract the areas of red triangles.

The formula of an area of a rectangle:

[tex]A_{\boxed{\ }}=a\cdot b[/tex]

We have:

[tex]a=5,\ b=4[/tex]

substitute:

[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]

substitute:

[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]

Area of ΔRST:

[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]

substitute:

[tex]A_{\triangle RST}=20-11=9[/tex]

Answer:

C

Step-by-step explanation:

Answer:

24.73cm^3

Step-by-step explanation: