Mathematics: In the square pyramid below, the sides of thesquare base measure 4 cm and the slantheight measures 8 cm. If the slant height istripled and the base lengths remain the same,by how much, in square inches, will thesurface area increase?

so ez...lolStep-by-step explanation:it s 15 units...

In the square pyramid below, the sides of thesquare

Ответ:

taliajohnsom8362

23.01.2022

Mathematics

$\bigtriangleup= 19.84\ in^2$

Step-by-step explanation:

We calculate the initial area before the dimension modifications.

-The surface area(given the slant height) is calculated as:

$A=Base \ Area +Triangle:s \ Area\\\\=s^2+4(0.5sh)\\\\s=base \ side, h=\ slant \ height\\\\\therefore A=4^2+4(0.5\times 8\times 4)\\\\=80\ cm^2$

-If the slant height is tripled, the new height will be 3*8=24, and the base lengths remain unchanged:

$A_n=Base \ Area +Triangle:s \ Area\\\\=s^2+4(0.5sh)\\\\s=base \ side, h=\ slant \ height\\\\\therefore A_n=4^2+4(0.5\times 24\times 4)\\\\=208\ cm^2$

-The change in area is calculated as (1 sq cm=0.155 sq in):

$\bigtriangleup=A_n-A\\\\=128\ cm^2\\\\=1 \ cm^2=0.155\ in^2\\\\\therefore 128\ cm^2=0.155\ in^2\times 128\\\\=19.84\ in^2$

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In the square pyramid below, the sides of the
square base measure 4 cm and the slant
height measures 8 cm. If the slant height is
tripled and the base lengths remain the same,
by how much, in square inches, will the
surface area increase?

Ответ:

Ответ:

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