Question

The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm 10 cm 7.5 cm can be painted out of this container?

Answer 1

Answer:

AREA that can be painted out of one container = 9.375 m²

        { ∵ 1 m² = 10000 cm² }                                  = 9.375 x 10000

                                                                              = 93750 cm²

                 BRICK

      Length = 22.5 cm

      Breadth = 10 cm

      Height = 7.5 cm

T.S.A OF A CUBOID = 2 ( lb x bh x hl )

                                   = 2 [ (22.5 x 10) + (10 x 7.5) + (7.5 x 22.5) ]

                                   = 2 [ 225 + 75 + 168.75 ]

                                   = 2 [ 468.75 ]

                  1  BRICK  = 937.5 cm²

                 ?? BRICK  = 93750 cm²

                                   = 93750 ÷ 937.5

                                   = 100

∴ 100 BRICKS CAN BE PAINTED OUT OF THE CONTAINER

hope so this helps........

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Given

Length(l) = 22.5 cm

Breadth(b) = 10 cm

Height(h) = 7.5 cm (Thickness)

Now,

${\boxed{\sf\:{Using\;formula\;we\;have}}}$

Total surface area

= 2(l × b + b × h + l × h)

= 2(22.5 × 10 + 10 × 7.5 + 7.5 × 22.5)

= 2(225 + 75 + 168.75)

= 2 × 468.75

= 937.5 cm²

Now convert it into m²

We know that 1m = 100 cm

Hence,

$\tt{\rightarrow\dfrac{937.5}{100\times 100}}$

= 0.09375 m²

${\boxed{\sf\:{Number\;of\;Bricks\;that\;can\;be\; painted}}}$

$\tt{\rightarrow\dfrac{Area\;covered\;by\;Paint}{Area\;of\;1\;brick}}$

$\tt{\rightarrow\dfrac{9.375}{0.09375}}$

= 100

Hence we get that :-

Number of bricks that can be painted by 1 box of paint = 100