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

Best of Luck!

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

step-by-step explanation: