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?
Answers
Step-by-step explanation:
Volume of paint = 9.375 m2 = 93750 cm2
Dimension of brick = 22.5 cm×10 cm×7.5 cm
Total surface area of a brick = 2(lb + bh + lh) cm2
= 2(22.5×10 + 10×7.5 + 22.5×7.5) cm2
= 2(225 + 75 + 168.75) cm2
= 2×468.75 cm2 = 937.5 cm2
Number of bricks can be painted = 93750/937.5 = 100
Answer:
100 bricks
Explanation:
Given :
- Area painted by certain container => 9.375m²
- Length of the brick => 22.5 cm
- Breadth of the brick => 10 cm
- Height of the brick => 7.5 cm
To Find :
- Number of brick that can be painted out of the container
Solution :
Total surface area of one brick = 2(lb + bh + lh)
= [2(22.5 × 10 + 10 × 7.5 + 22.5 × 7.5)] cm²
= 2(225 + 75 + 168.75) cm²
= (2 × 468.75) cm²
= 937.5 cm²
Assume “x” bricks to be painted out of this container.
So,Area of x bricks = (x × 937.5)cm² = 937.5xcm²
Convert m² in cm²
⇒ 9.375m²
⇒ 93750 cm²
∴ 93750 = 937.5x
⇒ x = 93750/937.5
⇒ x = 100
Therefore, 100 bricks can be painted out by the paint of the container.