Question

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

Answer 1

Answer

We are given the area that can be painted by the container

area that can be painted = $9.375 m^2$

Next, we would convert meter into cm

So,

$1\:meter^2=10000\:cm^2$

Thus, $9.375\:m^2$

= $9.375\times 10000\:cm^2$

= $93750\:cm^2$

Further, to find the total surface area of one brick

Using formula,

=$2(lb + bh + lh)$

= $2(22.5\times 10 +10\times 7.5 + 22.5\times 7.5)$

= $2(225+ 75 + 168.75)$

= $2\times 468.75$

= $937.5\:cm^2$

Now, to find the number of bricks that can be painted

= $\frac{Area\:than\:can\:be\:painted\:by\:the\:container}{ Surface\:area\:of\:brick}$

= $\frac{93750}{937.5}$

= $\frac{937500}{9375}$

= $100\:bricks$

$\boxed{\textbf{Number of bricks = 100}}$

Answer 2

Total 100 bricks of dimensions 22.5 cm by 10 cm by 7.5 cm can be painted out of this container