A rectangular prism with a volume of 555 cubic units is filled with cubes with side lengths of \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?
Answers
Explanation:
135 cubes are required to fill the prism
Solution:
Given that a rectangular prism with volume of 5 cubic units is filled with cubes with side lengths of \frac{1}{3}31 units
Then the number of cubes required to fill the prism will be given by:
\text { number of cubes }=\frac{\text {volume of rectangular prism}}{\text {volume of cube}} number of cubes =volume of cubevolume of rectangular prism
Volume of rectangular prism = 5 cubic units
\text{ Volume of cube}=(\text { side })^{3}$
\text { Volume of cube }=\left(\frac{1}{3}\right)^{3}=\frac{1}{27} Volume of cube =(31)3=271
Therefore number of cubes required to fill the prism are:
\text { number of cubes }=\frac{5}{\frac{1}{27}}=5 \times 27=135 number of cubes =2715=5×27=135
Therefore 135 cubes are required to fill the prism
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Answer:
135 cubes are required to fill the prism
Explanation:
Solution:
Given that a rectangular prism with volume of 5 cubic units is filled with cubes with side lengths of units
Then the number of cubes required to fill the prism will be given by:
Volume of rectangular prism = 5 cubic units
Therefore number of cubes required to fill the prism are:
Therefore 135 cubes are required to fill the prism