Answer :
Answer: [tex]371.8\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]
Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]
Volume of granite countertop
[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]
We know, 1 ft=12 inch
[tex]\therefore V=2.187\ cm^3[/tex]
Weight of granite
[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]