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bulgar [2K]
3 years ago
9

Seth finds the slant height of a square pyramid with a base length of 6cm and a height of 7 CM to be approximately 9.2 cm. what

mistake did Seth make in finding the slant height of the square pyramid
please help asap

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

He used formula C).

Step-by-step explanation:

The correct formula for the slant height is given by

x^2 = 3^2 + 7^2

x =  7.62 cm.

To get 9.2 he must have used

x^2 = 6^2 + 7^2 = 85

as  √85 = about 9.2.

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What is the surface area of this composite solid?______________ square feet 242 319 363 517
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Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

V_{prims}=11 \times 11 \times 2=242 \ ft^{3}

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

7^{2}=h^{2} +(5.5)^{2}\\  49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3

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Now, we find the volume of the pyramid

V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}

The sum of both figures represents the total volume of the composite figure

V_{total}=242+173.4=415.4ft^{3}

Therefore, the right answer is 415.4 cubic feet.

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