Mathematics, 24.07.2019 16:00 21shalissa420

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

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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.
V=whl

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 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

. Lets replace those values in our formula to find

$h= \frac{75in^3}{30in^2}$
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

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 l=12in

, 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

Answer from: Quest

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

Answer from: Quest

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation:

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Fast 20 pints mr. harvey bought a new television that has a total surface area of 75 cubic inches. t...