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(B) The total surface area of one brick is given by the formula $2(lb + bh + lh)$.Substituting the given dimensions: $l = 22.5 \,cm$,$b = 10 \,cm$,$h

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(B) The total surface area of one brick is given by the formula $2(lb + bh + lh)$.Substituting the given dimensions: $l = 22.5 \,cm$,$b = 10 \,cm$,$h = 7.5 \,cm$.Surface area of one brick $= 2(22.5 	imes 10 + 10 	imes 7.5 + 22.5 	imes 7.5) \,cm^2$.$= 2(225 + 75 + 168.75) \,cm^2 = 2(468.75) \,cm^2 = 937.5 \,cm^2$.Convert the total paintable area from $m^2$ to $cm^2$: $9.375 \,m^2 = 9.375 	imes 10000 \,cm^2 = 93750 \,cm^2$.Let $n$ be the number of bricks that can be painted.$n 	imes 937.5 = 93750$.$n = \frac{93750}{937.5} = 100$.Thus,$100$ bricks can be painted.

The paint in a certain container is sufficient to paint an area equal to $9.375 \,m^2$. How many bricks of dimensions $22.5 \,cm \times 10 \,cm \times 7.5 \,cm$ can be painted out of this container?

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