A solid box with height 90cm, width 70cm and length 90cm needs to be painted.
The paint costs £0.02 per cm2.
How much will it cost to paint the outside of the box?

The first step to solve this problem is to find the surface area of the solid box. The formula for surface area for a rectangular prism is [tex]2(wl+hl+hw)[/tex]where w is width, l is length, and h is height. Plugging values in gives [tex]2(90*90+70*90+70*90)=41400[/tex] cm^2.

Because each cm^2 of paint costs £0.02, a ratio can be created.

[tex]\frac{1}{0.02} =\frac{41400}{x}[/tex]

Cross multiplying gives: [tex]x=828[/tex], so to paint the whole outside of the box, it would cost £828.

A solid box with height 90cm, width 70cm and length 90cm needs to be painted. The paint costs £0.02 per cm2. How much will it cost to paint the outside of the box?

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A solid box with height 90cm, width 70cm and length 90cm needs to be painted.
The paint costs £0.02 per cm2.
How much will it cost to paint the outside of the box?