Question

What is the surface area?

Answer 1

We have:

two congruent triangles wit base b = 6ft and height h = 4ft

two rectangle with length l = 10ft and width w = 5ft

one rectangle with lenght l = 10ft and width w = 6f

The formula of an area of a triangle:

$A_T=\dfrac{1}{2}bh$

Substitute:

$A_T=\dfrac{1}{2}(6)(4)=(3)(4)=12\ ft^2$

The formula of a rectangle:

$A_R=lw$

Substitute:

$A_{R_1}=(10)(5)=50\ ft^2\\\\A_{R_2}=(10)(6)=60\ ft^2$

The Surface Area:

$SA=2A_{T}+2A_{R_1}+A_{R_2}$

Substitute:

$SA=2(12)+2(50)+60=24+100+60=184\ ft^2$

Answer: The Surface Area is equal 184 ft².