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Which is the volume of the solid? The solid is made up of 2 cuboids. First cuboid has length as 4 unit cubes, height as 1 unit cubes and width as 2 unit cubes. Second cuboid has length as 1 unit cube, height as 3 unit cubes and width as 2 unit cubes.
A. 14 cubic units
B. 16 cubic units
C. 21 cubic units
D. 35 cubic units

Respuesta :

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Answer:

14 cubic units

Step-by-step explanation:

The Formula for Volume is

V = L x W x H

Since there are 2, you need to add the two totals together.

Cubic one:

4 x 1 x 2  =  8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)

Cubic Two:

1 x 3 x 2 = 6

Now just add the totals together:

6 + 8 = 14

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Answer:

  • A) 14 cubic units

Solution:

Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:

  • V = l × w × h

The volume of the solid will be equal to the sum of volume of given two cuboid

For 1st cuboid :

  • l = 4 unit
  • h = 1 unit
  • w = 2 unit

Therefore, Volume:

➝ V = l × w × h

➝ V = 4 × 2 × 1

➝ V = 8 unit³

For 2nd cuboid:

  • l = 1 unit
  • w = 2 units
  • h = 3 units

Therefore, Volume:

➝ V = l × w × h

➝ V = 1 × 2 × 3

➝ V = 6 unit ³

Now, Volume of solid :

‎ㅤ‎ㅤ‎ㅤ➙ sum of V of cuboid

‎ㅤ‎ㅤ‎ㅤ➙ 8 + 6

‎ㅤ‎ㅤ‎ㅤ➙ 14 unit ³

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