Question

A rectangular pyramid has a base with dimensions 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:

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:

Answer 2

Answer:

The height of the pyramid is $9\ in$

Step-by-step explanation:

we know that

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the rectangular base of the pyramid

H is the height of the pyramid

Find the area of the base B

$B=5*7=35\ in^{2}$

we have

$V=105\ in^{3}$

substitute the value of B and the value of V in the formula and solve for H

$105=\frac{1}{3}(35)H$

$315=(35)H$

$H=315/35=9\ in$