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Maurinko [17]
3 years ago
15

15. The length of each edge of a regular tetrahedron,

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

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3 years ago
Help me<br><br>6 = 1/5 (4y + 10)​
gregori [183]

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

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4 0
3 years ago
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Can some one explain how to do this?
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

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--------------------------------------------------------------

sin60° = \frac{opposite}{hypotenuse} = \frac{FG}{EF} = \frac{28}{EF} ( multiply both sides by EF )

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What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle
satela [25.4K]

Answer:

Given : ∠ABC is a right angle, ∠D BC is a straight angle.

To prove :∠AB D is a right angle.

Proof: ∠ ABC = 90°[ Given]

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now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.

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