Question

Alex has built a garden shed in the shape shown.

Answer 1

Answer:

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 $\times$ 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 $\times$ Width = 6 $\times$ 3 = 18 $m^2$

Area of triangle = $\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}$

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 $m^2$ = $\frac{132}{6} = 22\ cans$

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 $\times$ 22 = $561

Including tax of 13% = $561 + $561 $\times \frac{13}{100}$ = $561 + $72.93 = $633.93

So, the answers are:

A) 22 cans required to paint

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