Multiple choice

Riya decides to paint a hexagonal-shaped window with each side measuring 2 metres. She wants to apply paint only to the glass area inside the window, and she plans to paint both sides of the glass. If 1 litre of paint covers 3 square metres of glass surface, to the nearest litres how many litres of paint will Riya need to buy?

  1. 2 litres

  2. 4 litres

  3. 7 litres

  4. 12 litres

  5. 16 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area of a regular hexagon = (3 * sqrt(3) / 2) * side^2. Side = 2, so Area = (3 * sqrt(3) / 2) * 4 = 6 * sqrt(3) = 10.39 sq m. Painting both sides = 20.78 sq m. Paint needed = 20.78 / 3 = 6.92 liters. Nearest liter is 7.

AI explanation

A regular hexagon with side length 2 metres has an area given by the formula 3 * sqrt(3) / 2 * side^2. Substituting the side length gives an area of 3 * sqrt(3) / 2 * 2^2 = 6 * sqrt(3), which is approximately 6 * 1.732 = 10.392 square metres. Because Riya paints both sides of the glass, the total surface area to cover is 2 * 10.392 = 20.784 square metres. Dividing this total area by the paint coverage of 3 square metres per litre gives 20.784 / 3 = 6.928 litres. Rounding to the nearest litre results in 7 litres.

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