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navik [9.2K]
3 years ago
11

Can anybody help me on this

Mathematics
2 answers:
N76 [4]3 years ago
8 0

Answer:

4 units³

Step-by-step explanation:

The formula for the volume of a pyramid is

V = (1/3)(base area)(height)

Here the base area is (4 units )² and the height is 3 units.

Thus, the volume of this regular pyramid is

V = (1/3)(4 units²)(3 units)

   =  4 units³

Feliz [49]3 years ago
7 0

Answer: first option

Step-by-step explanation:

The volume of a regular pyramid can be calculated with the following fromula:

V=\frac{B*h}{3}

Where B is the area of the base of the pyramid and h iis the height of the pyramid.

The base is a square, therefore, its area B is:

B=side^2\\B=(2units)^2\\B=4units

You know that the height is 3, therefore, you can substitute these values into the formula.

THerefore, the volume of the pyramid is:

V=\frac{4units^2*3units}{3}

V=4units^3

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Step-by-step explanation:

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Harlamova29_29 [7]
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3 years ago
The area of square A is 900cm2, it is 3 times bigger than square B. What is the area of Square B?
emmasim [6.3K]

Answer: 8,100 cm^2

Step-by-step explanation: Area = S^2 so each side is sqrt(900) = 30cm

A square 3 times bigger has sides 30cm*3 = 90cm. The area for that square is 90^2 = 8,100 cm^2

8 0
3 years ago
A sealed rectangular container 10 inches by 12 inches by 6 inches is sitting on its largest face. If it is filled with water up
Sedaia [141]

Answer:

8 inches

Step-by-step explanation:

Given: Dimension of rectangular container= (10\times12\times 6)\ inches

           Water is filled up to a level 2 inches from the top.

As given that container is sitting on its largest face, then it is standing on (10\times 12)\ inches

Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.

∴ Height of water inside the container= 6-2= 4 \ inches

Now, finding the volume of water inside.

we know, Volume= length\times width\times height

Volume= 10\times 12\times 4= 480\ inches^{3}

Next, if container is placed in its smallest face then it is standing on (10\times 6)\ inches and lets assume height to be "x"

Forming an equation now to express the volume conservation law.

⇒ 480\ inches^{3} = 10\times 6\times x

⇒480= 60x

dividing both side by 60

⇒x= \frac{480}{60}

∴ x= 8 inches

Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face

5 0
3 years ago
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BabaBlast [244]

Answer: D.

Step-by-step explanation:

You want to cube each term in the parentheses. When you take an exponent to an exponent, you just multiply them. You get (27m^-12). In order to get rid of that negative exponent, you should put a one over the m term and make -12, +12:

(\frac{27}{m^12} )(3m^5)

Multiply the numerators to get:

81m^5

You now have:

\frac{81m^5}{m^12}

When you divide exponents, you subtract them. 5 - 12 = -7

You have m^-7 which is the same as 1/m^7. Finally, mulitply that by the 81 we left out to get the answer of D.

8 0
3 years ago
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