Question

how many tiles of dimension 22.5 cm into 10 cm into 7.5 CM can be painted if the paint it just sufficient for the a surface area 281 2.50 cm square

Answer 1

Given dimensions of tiles is 22.5 cm x 10 cm x 7.5 cm TSA of tile = 2(lb + bh + hl) sq units Hence TSA of tile = 2(22.5 × 10 + 10 × 7.5 + 7.5 × 22.5) sq cm                             = 2(225 + 75 + 168.75) sq cm                             = 937.5 sq cm Given paint is sufficient for an area of 2812.50 m2   = 28125000 cm2 Number of tiles that can be painted = (28125000)/(937.5) = 30000 Thus the number of tiles that can be painted are 30,000.

Answer 2

Given - Dimension of tiles = 22.5*10*7.5 cm

Available paint = 2812.5 cm²

Find - Number of tiles that can be painted.

Solution - Firstly calculating the surface area of tiles. Surface area of tiles can be calculated by the formula = 2(lb + bh + hl). Here, l represents length, b represents breadth and h represents height.

Now keeping the values in formula to calculate surface area of tiles.

Surface area of tiles = 2(22.5*10 + 10*7.5 + 7.5*22.5)

Surface area of tiles = 937.5 centimetres square.

Now, number of tiles that can be painted = 2812.5/937.5

Number of tiles that can be painted = 3

Hence, 3 tiles can be painted by the available paint.