Question

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.

Answer 1

A) 22 cans required to paint

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

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
`m^2`

Area of triangle =
`(1)/(2)* Base * Height =(1)/(2)* 6 * 5 = 15\ m^(2)`

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132
`m^2`

A) Area painted by 1 can = 6
`m^2`

Cans required to paint 132
`m^2` =
`(132)/(6) = 22\ cans`

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50
`*` 22 = $561

Including tax of 13% = $561 + $561
`* (13)/(100)` = $561 + $72.93 = $633.93

So, the answers are:

A) 22 cans required to paint

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