Question

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?

Answer 1

Yes that person is correct

Answer 2

Answer: 6 blocks

Explanation:

Given

Volume of the rectangular prism is
`V=(3)/(4)\ yd^3`

Length of the cubic block is
`a=(1)/(2)\ yd`

Volume of each cubic block is

`\Rightarrow V_o=\left ((1)/(2)\right)^3\\\\\Rightarrow V_o=(1)/(8)\ yd^3`

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

`\Rightarrow V=nV_o\\\\\Rightarrow (3)/(4)=n\cdot (1)/(8)\\\\\Rightarrow n=(3* 8)/(4)\\\\\Rightarrow n=6\ \text{blocks}`

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