A box has a width of 10 feet and a length of 9 feet. The volume of the box is decreasing at a rate of 534 cubic feet per minute,
with the width and length being held constant. What is the rate of change, in feet per minute, of the height when the height is 4 feet
1 answer:
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Answer:
114.8 cm^2
Step-by-step explanation:
<h2><u>Finding the area of the shape </u></h2>we can break down this figure into individual shapes :
- rectangle
- triangle
- parallelogram
<h3><u>area of a triangle</u></h3>formula:
<u>area of a triangle =25.2 cm^2</u>
<u />
<h3><u>area of a rectangle</u></h3>formula:
4.5 * 8
<u>area of a rectangle = 36 cm^2</u>
<u />
<h3><u>area of parallelogram</u></h3>formula:
1/2 * ( sum of parallel sides ) * height
1/2 * ( 8 + 8 ) * 6.7
<u>area of a parallelogram = 53.6 cm^2</u>
<u />
<h3><u>Total area</u></h3>= area of rectangle + area of triangle + area of parallelogram
= 25.2 + 36 + 53.6
<h2><u>= 114.8 cm^2</u></h2>