Question

Can someone please help me

Answer 1

Answer:

L.A. = 384 cm²

S.A. = 640 cm²

Step-by-step explanation:

Lateral Area:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a traingle:

$A_\triangle=\dfrac{bh}{2}$

Substitute:

$A_\triangle=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2$

$L.A.=4A_\triangle=4(96)=384\ cm^2$

Surface Area:

$S.A.=B+L.A.$

In the base we have the square with side s = 16cm. The formula of an area of a square:

$A_\square=s^2$

Substitute:

$B=16^2=256\ cm^2$

$S.A.=256\ cm^2+384\ cm^2=640\ cm^2$