Fast 20 pints mr. harvey bought a new television that has a total surface area of 75 cubic inches. the length of the base is 7.5 inches. the width is 4 inches. what is the height of the television? a. 2.5 inches b. 15 inches c. 5.5 inches d. 3 inches 2.the surface area, s, of a right rectangular prism with length l, width w, and height h can be found using the formula below. s=2(lw + wh + hl) what is the surface area in square inches of a prism with a length of 12 inches, a width of 9 inches, and a height of 2 inches? a. 92 b. 150 c. 258 d. 300

1. You have a small typo in your 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.

where
is the volume of the rectangular prism. 
is the width of the base.
is the length of the base.
is the height of the prism. 

We know from our problem that the television that has a total volume of 75 cubic inches, so . We also know that the length of the base is 7.5 inches and the width is 4 inches, so  and . Lets replace those values in our formula to find :






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: 
where
is the surface area of the rectangular prism. 
is the width.
is the length.
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 , , and . Lets replace those values in our formula to find :






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

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