The base of a 1L reactangle prism carton has an area of 50 cm2. how tall is the carton?
1 answer:
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Answer:
<h3>Option D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>Step-by-step explanation:
First we have to split the net into 4 triangles and 1 rectangle
Given a = 12 cm ,b = 6 cm and d = 13 cm
<h3>To find the surface area of the rectangular pyramid:</h3>Now find the area of the rectangle base
= 72 sq. cm
<h3>∴ Rectangle base area=72 sq cm</h3>Now to find the area of the triangle on the left
= 39 sq cm
<h3>∴ Left triangle=39 sq cm</h3>Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left and right triangles= 2(39)
=78 sq cm
<h3>∴ Area of left and right triangles=78 sq cm</h3>Find the area of the triangle on the bottom
= 72 sq cm
<h3>∴ Bottom triangle area=72 sq cm</h3>Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles=2 (72)
= 144 sq cm
<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>Finally add the area of the 4 triangles to the area of the rectangular base we get
=72 + 78 + 144
= 294 sq cm
<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>To understand the function better, let's convert it from polar coordinates to cartesian coordinates. The relation between those coordinates are
Our function is
If we multiply both sides by r, we have
The square of the radius is equal to the sum of the squares of the cartesian coordinates
Using this identity, we can rewrite our function as
Completing the square, we can rewrite our function as
This is a equation of a circle.