Question

Help me find the lateral and the surface area I have to round to the nearest tenths if necessary

Answer 1

Answer:

L.A. = 384 cm²

S.A. = 640 cm²

Step-by-step explanation:

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

The formula of an area of a triangle:

$A=\dfrac{bh}{2}$

Substitute:

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

The latearal area:

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

For the surface area we need the area of a base.

The base is a square with side a = 16cm.

The area of the base:

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

The surface area:

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