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2 years ago

If the surface area of a cube is 150 cm2, what is the volume of the cube

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

Answer:

V = 125 in^3

Step-by-step explanation:

A cube has 6 sides, and the area of each is equal to the side length squared:

A = 6x^2

A is given as 150 cm^2, and so is equal to 6x^2. Thus, x = the side length = 5 cm.

The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3

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Draw a diagram that shows how the expression can represent the area of a figure 8(3x-1)

oksian1 [2.3K]

Answer:

Step-by-step explanation:

You can draw a rectangle with one side of the rectangle being 8 units, while the other side being (3x - 1) units.

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2 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

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2 years ago

Carl buys 1.5 pounds of grapes. The

Umnica [9.8K]

Answer:

$3.51

Step-by-step explanation:

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2 years ago

How are the GCF and the LCM alike and diffrent? Please help

Daniel [21]

The Gcf is finding the greatest numbers the lcm is finding the least factor

and the are the same because your finding the common number> (means same number)

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2 years ago

Define fn : [0,1] --> R by the

sasho [114]

Answer:

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$f(x)=\begin{cases}0&0\leq x$ .

Step-by-step explanation:

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