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 meas…

Question

asked Mar 6, 2022 9.7k views

2 Answers

Geuis · Answer 1 · 2022-03-10T09:55:50+0000

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.