Question

(The total surface of a square based pyramid given in the adjoining figure is 360 cm and slant height 13 cm, find the volume of pyramid.)​

Answer 1

first divide 360 by 4 since the square has 4 sides the multiply the answer by 13 cm to get 1170 cm³

Answer 2

Answer:

400cm.cu#

Step-by-step explanation:

by using formula

T. A. L. of pyramid = a^2+2al

here given T. S. A pyramid = 360cm.sq

pyramid of the length (l) = 13cm.

so,

T. A. L. of pyramid = a^2+4al/2

360 = a^2 + 4×a×13/2

a^2+26a-360=0

a^2+36a-10a-360 =0

(a-10) (a+36) =0 ,

either a-10=0

so, a=10 and

and a+36=0

so, a = -36

since, if we are taking base always positive so, a = 10

i. e base is a= 10

pyramid (h) = ?

so, h ^2 = l ^2- (a/2)^2

h^2= (13)^2- (10/5)^2

h^2= 169 - 25

h^2 = 144

so, h = 12 cm.

pyramid of the volume (v) = 1/3a^2h

= 1/3 ×(10) ^2× 12

= 400cm.cu