MATH SOLVE

2 months ago

Q:
# Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

Accepted Solution

A:

Formula

The formula for a pyramid is V = 1/3 * B * h

B = s * s of the square bottom

s = 10

B = 10*10

B = 100 square feet.

Height.

The height is not given. You find it using a^2 + b^2 = c^2

a = 1/2 length of the side of the base

b = height

c = 13^2

If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.Β

AC = 10

B is the midpoint of AC that means that BD = 5

BH = 13 Given

We need HD

Use the pythagorean theorem

HD^2 + BD^2 = BH

HD^2 + 5^2 = 13^2

HD^2 + 25 = 169

HD^2 = 169 - 25

HD^2 = 144 Take the sqrt of both sides.

HD = sqrt(144)

HD = 12

Find the Volume

V = 1/3 * B * H

V = 1/3 * 100 * 12

V = 1/3 * 1200

V = 400

Answer

V = 400 square feet <<< answer

The formula for a pyramid is V = 1/3 * B * h

B = s * s of the square bottom

s = 10

B = 10*10

B = 100 square feet.

Height.

The height is not given. You find it using a^2 + b^2 = c^2

a = 1/2 length of the side of the base

b = height

c = 13^2

If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.Β

AC = 10

B is the midpoint of AC that means that BD = 5

BH = 13 Given

We need HD

Use the pythagorean theorem

HD^2 + BD^2 = BH

HD^2 + 5^2 = 13^2

HD^2 + 25 = 169

HD^2 = 169 - 25

HD^2 = 144 Take the sqrt of both sides.

HD = sqrt(144)

HD = 12

Find the Volume

V = 1/3 * B * H

V = 1/3 * 100 * 12

V = 1/3 * 1200

V = 400

Answer

V = 400 square feet <<< answer