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Geometry Help Please!!

2 Answers

0 votes

Observe the figure:

Length of the base of the pyramid is .

Slant height of the pyramid is .

(a)

Total surface area of the pyramid is .

Therefore, .

Substitue corresponding values in  the formula.

.

Total surface area of the pyramid is  sq-cm.

(b)

Length of the base of the pyramid is .

Altitude of the pyramid is image.

Find the volume of the pyramid.

Volume of the square pyramid image.

Where image is the area of the base.

Area of the square base is image.

Substitue corresponding values in  the formula.

image

image

Volume of the pyramid is image cubic-cm.

answered Feb 10, 2016 by cameron Mentor
edited Feb 10, 2016 by cameron
0 votes

(4)

Step 1:

(a)

Observe the figure:

Inscribed angle theorem of circle:

If the inscribed angle measure x, the central angle will measure 2x.

image

.

The triangle DAB is right angled triangle and DB is the hypotenuse.

Therefore, .

Step 2:

(b)

Find .

Draw an angle bisector from A.

Angle .

Therefore, .

Redraw the figure:

From the triangle ACB: .

Therefore, .

Step 3:

(c)

Find .

From the triangle ACD: .

Therefore .

Step 4:

(d)

Find the length of AD.

From triangle ABD: image.

image

Therefore, image

Solution:

(a) .

(b) .

(c) .

(d) image

answered Feb 10, 2016 by Lucy Mentor
reshown Feb 10, 2016 by casacop

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