Check the picture below.
the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus
<h3>
Answer: 168 square feet</h3>
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Explanation:
The front triangular face is a triangle with base 8 and height 6. Its area is
A = 0.5*base*height
A = 0.5*8*6
A = 24 square feet
The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.
The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet
The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.
Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet
Overall, the total surface area is: 24+24+50+30+40 = 168 square feet
We just add up all the individual areas of each face to get the total surface area.
Answer:
Step-by-step explanation:
First you would see how many times 3 would go into 22 and it would be 7 with a remainder of 1. Then you would do 7 times 3 which is 21. And 22 minus 21 is 1. Then your answer would be 7 with a remainder of 1. If you don't want a remainder, and you want a decimal then you would add a decimal point after the 22 and then add a 0. You would bring down the zero and then the remainder of one would be 10 then you would see how much 3 goes into 10, and it only goes 3 times. Your answer would be 7.3 with a remainder of 1, If you keep going you will see it becomes a repeating decimal. *Hope it helped*
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
