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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
