Question

The vertical height and length of base of squared based pyramid are in the ratio of 2:3. If the total surface area of the pyramid is 384 cm find the slant height.​

Answer 1

Answer:

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Answer 2

Answer:

Ans 10cm

Step-by-step explanation:

Given

T.S.A=384cm^2

base of length(a)= 3x cm

vertical height ( h)= 2x cm

now, slant height (l)= ✓(2x)^2+(3x/2)^2

=✓4x^2+9x^2/4 taking l.c.m

=✓(16x^2+9x^2)/4

=✓25x^2/4

=✓( 5x/2)^2

= 5x/2

now , T.S.A= 2al+ a^2

384= 2*3x*5x/2+(3x)^2

or 384 = 15x^2+9x^2

or 384= 24x^2

or x^2=383/24

or x^2= 16

or x= 4

again l= 5x/2

= 5*4/2

= 20/2

= 10cm.