Question

HELP HELP FAST 20 PINTS

Answer 1

1. You have a small typo in your answer: cubic inches is a measure of volume not surface area. Since the a TV is basically a rectangular prism, we are going to use the formula for the volume of a rectangular prism to solve this.
$V=whl$
where
$V$ is the volume of the rectangular prism. 
$w$ is the width of the base.
$l$ is the length of the base.
$h$ is the height of the prism. 

We know from our problem that the television that has a total volume of 75 cubic inches, so $V=75in^3$. We also know that the length of the base is 7.5 inches and the width is 4 inches, so $l=7.5in$ and $w=4in$. Lets replace those values in our formula to find $h$:
$V=whl$
$75in^3=(4in)(h)(7.5in)$
$75in^3=30hin^2$
$h= \frac{75in^3}{30in^2}$
$h=2.5in$

We can conclude that the height of the television is 2.5 inches; therefore, the correct answer is: A. 2.5 inches.

2. To solve this, we are going to use the formula for the surface area of a rectangular prism: $S=2(wl+hl+hw)$
where
$S$ is the surface area of the rectangular prism. 
$w$ is the width.
$l$ is the length.
$h$ is the height. 

We know form our problem that the dimensions of our prism are:length of 12 inches, a width of 9 inches, and a height of 2 inches, so $l=12in$, $w=9in$, and $h=2in$. Lets replace those values in our formula to find $S$:
$S=2(wl+hl+hw)$
$S=2[(9in)(12in)+(2in)(12in)+(2in)(9in)]$
$S=2(108in^2+24in^2+18in^2)$
$S=2(150in^2)$
$S=300in^2$

We can conclude that the surface area of the prism is 300 square inches; therefore, the correct answer is: D. 300