Question

Darren is painting a wooden block as part of his art project The block is a rectangular prism that is 12cm long by 9 cm wide by 5 cm high.What is the surface area in square meters that Darren has to paint

Answer 1

The surface area in square meters that Darren has to paint is
`426cm^2`

∴
`A=426cm^2`

Explanation:

Given that Darren is painting a wooden block is a rectangular prism

Its length is 12 cm ,width is 9 cm and height is 5 cm

To find the surface area in square meters that Darren has to paint :

Let l be the length, w be the width and h be the height

Then l=12 cm , w=9 cm and h=5 cm

The formula for the Surface area is

A=2(lw+wh+hl) square units

Substitute the values in formula we get,

A=2(12(9)+9(5)+5(12))

=2(108+45+60)

=2(213)

=426

∴
`A=426cm^2`

∴ the surface area in square meters that Darren has to paint is
`426cm^2`