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3 years ago

The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?

Mathematics

2 answers:

NeTakaya3 years ago

8 0

volume of a cube = S^3

which would be S x S x S

so answer is D

vitfil [10]3 years ago

4 0

Answer: A. $S=\sqrt[3]{27}$

Step-by-step explanation:

Given: The volume of cube = 27 cubic inches

We know that the formula to calculate the volume of acube is given by :-

$\text{Volume}=(S)^3$ , where S is the side of the cube.

To find the expression of the length of a side of cube , take cube root on both the sides , we get

$S=\sqrt[3]{V}\\\\\Righatwrrow\ S=\sqrt[3]{27}$

Hence, the expression represents s, the length of a side of the cube : $S=\sqrt[3]{27}$

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Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

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3 years ago

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fredd [130]

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2 years ago

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2 years ago

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

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Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

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Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

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