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2 years ago

A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?

Mathematics

1 answer:

Nastasia [14]2 years ago

7 0

Answer:

Step-by-step explanation:

Volume of a square based pyramid = $\frac{1}{3}a^{2}h$ where;

a² is the base area of the pyramid since it is square shaped

h is the slant height.

Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;

$384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m$

The slant height of the pyramid is 8m

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Answer:

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Step-by-step explanation:

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2 years ago

Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told th

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Answer:

Yes, they are correct. Hernando divided 6 by 6.

Step-by-step explanation:

Given that:

Hernando ate 2/8 of a pizza for dinner.

Let the pizza be x. Then:

Hernando ate $\dfrac{2}{8} \ \ o f \ \ x$

Then he gave the rest of the pizza to his friends

Hernando now carried out the following calculations to support his activities;

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Thus, the correct answer is:

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2 years ago

Read 2 more answers

Find the values of the sine, cosine, and tangent for ZA.<br><br> (TOP OF TRIANGLE IS (A))

Sloan [31]

$\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\$

AC = 7 m
BC = 4 m

⠀⠀⠀

$\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\$

$\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\$