Question

A pyramid has a base with a demension 5 inches by 7 inches .The height of the pyramid is unknown .If the volume of the pyramid is 105 cubic inches,what is the height of the pyramid ?Explain the steps

Answer 1

Answer:

9 inches

Step-by-step explanation:

The volume of a pyramid is given as:

$V = \frac{l* w*h}{3}$

where l = length of base of pyramid

w = width of base of pyramid

h = height of pyramid

The volume of the cylinder is already known ( $105 in^3$ ) and the other two dimensions are known as 5 in and 7 in.

From the formula of the volume of the pyramid, the height of the pyramid is given as:

$h = \frac{3V}{l*h}$

Hence, the height of the pyramid is:

$h = \frac{3 * 105}{5 * 7}\\ \\h = \frac{315}{35} = 9in$

The pyramid's height is 9 inches.

Answer 2

Answer:

Sample Response: Substitute the area of the base and the volume into the formula V = 1

3

Bh. After substituting, you have 105 = 1

3

(35)h. Solve for h by multiplying both sides by 3 and then dividing both sides by 35. The height is 9 inches.

Step-by-step explanation: