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2 votes
A container shape as a rectangular prism can hold 840 wooden cube blocks with edge lengths of 1/2 feet. What is the volume of the container?

2 Answers

6 votes
we know that
volume of one wooden cube blocks=(1/2)³=1/8 ft³

volume rectangular prism=840*(1/8)=105 ft³

the answer is 105 ft³
User Xoltawn
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7.1k points
5 votes
The first thing we should know is that the volume of a cube by definition is:
V = L ^ 3
Where:
L: side.
We have then that the volume of a cube is:
V = (1/2) ^ 3
V = 1/8
Then, the prism volume is:
Vtotal = 840 * V
Vtotal = 840 * (1/8)
Vtotal 105 feet ^ 3
Answer:
the volume of the prism is:
Vtotal 105 feet ^ 3
User Bluetoba
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7.9k points