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kolezko [41]
3 years ago
6

A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism?

Mathematics
1 answer:
krek1111 [17]3 years ago
4 0
<h3>Answer:  138,240 cubic cm</h3>

Explanation:

If x is the side length of a cube, then x^3 is the volume. Think of it like length*width*height, but length = width = height.

It's no coincidence that the cubing operation or cubed exponent ties directly to the concept of things like volumes in cubic cm.

In this case, x = 12 cm is the side length of each small cube. The volume of each small cube is x^3 = 12^3 = 12*12*12 = 1728 cubic cm.

Eighty such small cubes get us a total volume of 80*1728 = 138,240 cubic cm.

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Answer:

1. 2x² - 8x - 7

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Step-by-step explanation:

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3 years ago
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The length of a rectangular prism is 8
Lena [83]
Surface area is:

W=width
L=length
H=height

S=2*(L*W+L*H+W*H)

replacing the values

250=2*(8*W+8*1+W*1)

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250=2*(9*W+8)

dived each member by 2

125=9W+8

9W=125-8

9W=117

\boxed{\boxed{W=13~unit~of~measure}}

The volume of a rectangular prism is

V=L*H*W

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\boxed{\boxed{V=104~unit~of~volume}}
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4 years ago
What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.
IgorLugansk [536]

Answer:

The surface area of the cylinder is of 131.947 square meters.

Step-by-step explanation:

Surface area of a cylinder:

The surface area of a cylinder of height h and radius r is given by the following equation:

S_a = 2\pi r(h+r)

What is the surface area of the cylinder with a height of 3 m and radius of 4 m?

h = 3, r = 4.

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Height and radius are in meters, so the surface area will be in square meters.

The surface area of the cylinder is of 131.947 square meters.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B4%20a%7D%5E%7B2%7D%20%2B%20%20%7B12a%7D%5E%7B2%7D%20%7D%20" id="TexFormula1
PolarNik [594]

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

\sqrt{ {16a}^{2} }

2) Use this rule:

\sqrt{ab}  =  \sqrt{a}  \sqrt{b}

\sqrt{16}  \sqrt{ {a}^{2} }

3) Since 4 × 4 is 16, the square root of 16 is 4.

4 \sqrt{ {a}^{2} }

4) Simplify.

4a

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>4a</u><u>.</u>

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Kim is drawing a map of the different schools in her school district. She knows that her middle school is 10.6 miles away from t
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