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Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a height of 5 in. The other block has a height of 4 in., a length of 5 in., and a width of 2 in. What is the combined volume of the blocks?

User Nyconing
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2 Answers

8 votes

Answer:

140 inches cubed

Explanation:

Use the formula V =length* width* height to find the volumes of each block, then add them together to get the combined volume. So, (5*4*5)+(4*5*2)= 140 inches cubed, which is the combined volume.

User Sidy
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Answer:

140 in³

Explanation:

You want the combined volume of two blocks, with dimensions 5 by 4 by 5 inches and 4 by 5 by 2 inches.

Volume

The combined volume is the sum of the individual volumes. The volume of each block is the product of its dimensions.

When you recognize that some of the dimensions are common, you can simplify the math.

V = LWH

V1 = (5 in)(4 in)(5 in)

V2 = (4 in)(5 in)(2 in)

Then the sum is ...

V1 +V2 = (5·4·5 +4·5·2) in³ = (4·5)(5 +2) in³ = (20)(7) in³

V1 +V2 = 140 in³

The combined volume of the two blocks is 140 cubic inches.

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User Mateusz Pusz
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