High School

Two blocks have similar dimensions, maintaining the same ratio of length, height, and width. The volume of block one is 120 cubic units. The width of the first block is 24 units, and the width of the second block is 32 units. What is the volume of block two?

Answer :

Final answer:

The volume of the second block, maintaining the same ratio of dimensions as the first, is 160 cubic units.

Explanation:

This question is about finding the volume of a block with similar proportions to another, but different specific dimensions. The volume of an object is the amount of space it occupies, calculated as length x width x height. Since we are given that the blocks have the same ratio of dimensions, we can create a proportion equation to find the volume of the second block.

If Block 1 has a width of 24 units and a volume of 120 cubic units, and Block 2 has a width of 32 units, we can set up the following equation based on proportionality:

(Volume of Block 1)/(Width of Block 1) = (Volume of Block 2)/(Width of Block 2)

Therefore, plugging in known values, we have: 120/24 = Volume of Block 2/32

To find the volume of Block 2, you would then cross-multiply and solve for the Volume of Block 2 to get: Volume of Block 2 = (120 x 32) / 24

So the volume of the second block would be 160 cubic units.

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Final answer:

The volume of the second block, maintaining the same ratio of dimensions as the first, is 160 cubic units.

Explanation:

This question is about finding the volume of a block with similar proportions to another, but different specific dimensions. The volume of an object is the amount of space it occupies, calculated as length x width x height. Since we are given that the blocks have the same ratio of dimensions, we can create a proportion equation to find the volume of the second block.

If Block 1 has a width of 24 units and a volume of 120 cubic units, and Block 2 has a width of 32 units, we can set up the following equation based on proportionality:

(Volume of Block 1)/(Width of Block 1) = (Volume of Block 2)/(Width of Block 2)

Therefore, plugging in known values, we have: 120/24 = Volume of Block 2/32

To find the volume of Block 2, you would then cross-multiply and solve for the Volume of Block 2 to get: Volume of Block 2 = (120 x 32) / 24

So the volume of the second block would be 160 cubic units.

Learn more about Volume here:

https://brainly.com/question/33501668

#SPJ12

Final answer:

The volume of the second block, maintaining the same ratio of dimensions as the first, is 160 cubic units.

Explanation:

This question is about finding the volume of a block with similar proportions to another, but different specific dimensions. The volume of an object is the amount of space it occupies, calculated as length x width x height. Since we are given that the blocks have the same ratio of dimensions, we can create a proportion equation to find the volume of the second block.

If Block 1 has a width of 24 units and a volume of 120 cubic units, and Block 2 has a width of 32 units, we can set up the following equation based on proportionality:

(Volume of Block 1)/(Width of Block 1) = (Volume of Block 2)/(Width of Block 2)

Therefore, plugging in known values, we have: 120/24 = Volume of Block 2/32

To find the volume of Block 2, you would then cross-multiply and solve for the Volume of Block 2 to get: Volume of Block 2 = (120 x 32) / 24

So the volume of the second block would be 160 cubic units.

Learn more about Volume here:

https://brainly.com/question/33501668

#SPJ12

Answer:

160 unit³

Step-by-step explanation:

Given that the 2 blocks have similar dimension ;

Width of block 1 = 24 units

Width of block 2 = 32 units

Width 1 : width 2 = 24 : 32 = 1 : 1.333333

Volume of block 1 = 120 unit³

Volume of block 2 = x

Using the ratio above ;

Volume of block 2 = 120 * 1.333333 = 160 unit³