Question

What is the volume of a
cube that has one side of Il
cm? (Include cu cm in your
answer.)

Answer 1

In order to find the surface area, we need to calculate the area of each face

As we can see we have 4 triangles that are congruent and a square

First we will calculate the area of one triangle, the formula of the area of a triangle is

$A_T=\frac{b\times h}{2}$

where

b is the base

h is the height

in our case

b=11cm

h=8cm

we substitute the values

$A_T=\frac{11\cdot8}{2}=44\operatorname{cm}^2$

Then we calculate the area of the square the formula for the area is

$A_S=s\times s$

s is side

s=11 cm

we substitute in the formula

$A_S=11\times11=121\operatorname{cm}^2$

In order to find the surface area

$SA=4A_T+A_S$$SA=4(44)+121=297\operatorname{cm}^2$