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Virty [35]
3 years ago
14

A cube has a face area of 64 square centimeters. what is the volume of the cube?

Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0
The faces of a cube is a squar
square area=side^2
given
side area=squae area=64

64=side^2
sqrt both sides
8=side

volume =lenght times width times height
in a cube, lenght =widht =height=side=8
in this case they all equal 8

volume=8 times 8 times 8
volume=512 cubic centimeters
fredd [130]3 years ago
3 0
The face of one side of a cube is a square shape. The formula for the area of a square
A=s²     where s=side length
plug in the data we know
64cm²=s²
√64cm²=s
8cm=s

The side length on the cube is 8cm

The formula for the volume of a cube is

V=s³    where s=side length
plug in the data that we know
V=8³
V=512cm³
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Question. 1 :
vovikov84 [41]
<h3>Answer to Question 1:</h3>

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

<h3>Answer to Question 2 :-</h3>

sin A = 3/4

CosA = ?

TanA = ?

<h3>SinA = Opp. side/Hypotenuse</h3><h3> = 3/4</h3>

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

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AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

<h3>CosA = Adjacent side/Hypotenuse</h3>

= AB/AC

= √7/4

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=BC/AB

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