A rectangular pyramid has a volume of 315 cm^3. The base has a width of 15 cm and a length 7 cm. Find the height h of the pyramid .

h = 9 cm

Step-by-step explanation:

A rectangular pyramid has a volume of 315 cm^3.

The base has a width of 15 cm and a length 7 cm.

Find the height h of the pyramid .

Vol = 1/3 (base area) h

where base area = 7 x 15 = 105 cm²

vol = 315 cm³

plugin values into the formula

315 = 1/3 (105) h

h =      315  

      (1/3 * 105)

h = 9 cm

Formula: V = 1/3bh

v = volume

b = base area

h = height

Find "b" or the base area

15 * 7 = 105

Solve for "h"

315 = 1/3(105)h

315 = 35h

9 = h

Therefore, the height is 9cm

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