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arsen [322]
3 years ago
6

Find the volume of a square oblique pyramid whose base measures five feet per side, with a vertical height of 18 feet. A. 225 ft

3 B. 150 ft3 C. 450 ft3 D. 90 ft3
Mathematics
2 answers:
Oxana [17]3 years ago
3 0

Answer:

B. 150 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = \frac{1}{3}Bh where B = the area of the base and h = height of the pyramid

Since the base of the pyramid is a square, we can take the length of the side squared:

A = s²

A = 5² = 25 ft²

Using B = 25 and h = 18:

V = \frac{1}{3}*25*18=150ft^{3}

maria [59]3 years ago
3 0
<h2>Answer with Step-by-step explanation:</h2>

The  volume of a square oblique pyramid is given by:

volume = \dfrac{1}{3}bh

Where:

b is the area of the base of the pyramid

h is its height.

Base is a square

so, base area(b)=area of square

                       = 5² feet²

                      = 25 feet²

and h=18 feet

Volume=\dfrac{1}{3}\times 25\times 18

            =150 feet³

Hence, Correct option is:

B. 150 ft³

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Here the given trigonometric expression to us is ,

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\rule{200}{4}

Additional info :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

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As we know that ,

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On simplifying,

\longrightarrow cos(x+x) = cos^2x - sin^2x

Hence,

\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}

\rule{200}{4}

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