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kupik [55]
3 years ago
15

Recommendations

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

27 cubic meters

Step-by-step explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

  • Surface Area =6s^2

Therefore:

6s^2=54\\s^2=54/6\\s^2=9\\s=\sqrt{9}\\ s=3$ meters

Volume of a Cube of side length s =s^3

Volume of the cube =3^3

=27 cubic meters

The volume of the cube is 27 cubic meters.

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3 years ago
Find the angle of XYZ give your answer to 1 decimal place
miskamm [114]

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

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\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15}   \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o

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