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2 years ago

What is the volume of the pyramid?

Mathematics

2 answers:

s2008m [1.1K]2 years ago

5 0

Answer:

$16\sqrt{3}$ $cm^{3}$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.

What is the volume of the pyramid?

My answer:

As we know, The volume of a pyramid = $\frac{1}{3}$ base area × its height

Given:

Side lenght of the base is; $4\sqrt{3} cm$

=> The area of the base is $12\sqrt{3}$ $cm^{2}$

In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: $tan(30) = \frac{BC}{AC}$

<=> BC = $4\sqrt{3}*tan(30)$

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = $\frac{1}{3}$ $12\sqrt{3}$ $cm^{2}$ * 4 cm

= $16\sqrt{3}$ $cm^{3}$

SOVA2 [1]2 years ago

5 0

Answer:

Step-by-step explanation:

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butalik [34]

ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

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See graph in attachment.

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2 years ago

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

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Answer:

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7 0

2 years ago

A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with

Alina [70]

Answer:

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Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm

Water level in tank = 2/5

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Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

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1 year ago

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Elanso [62]

Hello!

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I hope this helps!

4 0

2 years ago

Read 2 more answers