Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A block of iron has the dimensions of 3.00 cm x 3.00 cm x 3.00 cm and a mass of 213 g. When placed in water, the block sinks. What volume of water did it displace?

A. 213 cm³
B. 0.127 cm³
C. 7.89 cm³
D. 27.0 cm³

Sagot :

GinnyAnswer
To determine the volume of water displaced by the block of iron, we need to follow these steps:

1. Calculate the volume of the iron block using its dimensions:

The block's dimensions are:
[tex]\[ \text{Length} = 3.00 \text{ cm} \][/tex]
[tex]\[ \text{Width} = 3.00 \text{ cm} \][/tex]
[tex]\[ \text{Height} = 3.00 \text{ cm} \][/tex]

The formula for the volume [tex]\( V \)[/tex] of a rectangular block is:
[tex]\[ V = \text{Length} \times \text{Width} \times \text{Height} \][/tex]

Plugging in the given dimensions:
[tex]\[ V = 3.00 \text{ cm} \times 3.00 \text{ cm} \times 3.00 \text{ cm} \][/tex]
[tex]\[ V = 27.0 \text{ cm}^3 \][/tex]

2. Understand the relationship between the block and the water:

When the block sinks completely in water, it displaces a volume of water equal to the volume of the block itself.

3. Determine the volume of water displaced:

Since the block displaces water equal to its own volume, the volume of water displaced is:
[tex]\[ \text{Volume of water displaced} = \text{Volume of iron block} \][/tex]
[tex]\[ \text{Volume of water displaced} = 27.0 \text{ cm}^3 \][/tex]

Therefore, the volume of water displaced by the block of iron is:
[tex]\[ \boxed{27.0 \text{ cm}^3} \][/tex]
This matches the given multiple-choice answer of [tex]\( 27.0 \text{ cm}^3 \)[/tex].
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.