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Rudik [331]
3 years ago
5

This diagram shows a right square pyramid and some of its dimensions. What is the volume of the pyramid?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

Volume of square Pyramid is 48 cubic inches.

Option A is correct option.

Step-by-step explanation:

Height of Pyramid = 4 in

Length of Base = 6 in

We need to find volume of square pyramid

The formula used is:

Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h

Where A is area of base and h is height.

Area\: of\: Base =(Length)^2= 6^2 = 36

Now, putting values of A = 36 and h = 5 and finding volume

Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h\\Volume\: of\: Square\: Pyramid=\frac{1}{3}\times 36 \times 4\\Volume\: of\: Square\: Pyramid=12 \times 4\\Volume\: of\: Square\: Pyramid=48 \: cubic\:inches

So, Volume of square Pyramid is 48 cubic inches.

Option A is correct option.

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What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?
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Answer:

The answer is

<h2>y =  -  \frac{3}{5} x + 13</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

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To find the equation of the parallel line we must first find the slope of the original line

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We must first write the equation in the general equation above

So we have

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Divide both sides by 5

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Comparing with the general equation above

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So the equation of the line using point

(15, 4) and slope - 3/5 is

<h3>y - 4 =  -  \frac{3}{5} (x - 15) \\y - 4 =  -  \frac{3}{5} x + 9 \\ y =  -  \frac{3}{5} x + 9 + 4</h3>

We have the final answer as

<h3>y =  -  \frac{3}{5} x + 13</h3>

Hope this helps you

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