Alex has built a garden shed in the shape shown. (A) Alex plans to paint the outside of the shed, including the roof but not the floor. One can of paint can cover 6m^2 . How many cans of paint will Alex need.

(B)If one can of paint costs $25.50, what will the cost be including 13% tax.

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Step-by-step explanation:

As we check the figure, we have a composite figure.

Cuboid on the base and a pyramid on the top of it.

To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m 3m.

And 4 triangular faces of pyramid with Base = 6m and Height 5m.

So, total area to be painted = 4 rectangular faces + 4 triangular faces

Area of rectangle = Length Width = 6 3 = 18

Area of triangle =

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132

A) Area painted by 1 can = 6

Cans required to paint 132 =

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 22 = $561

Including tax of 13% = $561 + $561 = $561 + $72.93 = $633.93

So, the answers are:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93