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Pani-rosa [81]
3 years ago
11

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is V=\dfrac{3}{4}\ yd^3

Length of the cubic block is a=\dfrac{1}{2}\ yd

Volume of each cubic block is

\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3

Suppose, n blocks are required to measure the volume of Prism

\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}

Thus, 6 blocks are required to measure the volume of prism.

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