A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface ar
2 answers:
Answer:
- Water tank which is in a shape of right rectangular prism
Dimensions = 6 feet × 4 feet × 7 feet
<h3><u>TO</u><u> </u><u>FIND</u><u> </u><u>-</u><u> </u> </h3>- Surface area of tank
<em><u>Using</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>surface</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>
Surface area =
L = length
w = width
h = height
( assumimg 6 feet = L , 4 feet = W , 7 feet = h)
Putting value of L, W and H in the equation. we get,
=2(4 × 6 + 7 × 6 + 7× 4)
= 2(24 + 42 + 28)
= 2( 94)
= 2 × 94
= 188
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Hi there! :)
So, to find the surface area, all you need to do is find the area of each surface on the shape.
Theres 5 different shapes in the model, so you're going to need to find the area of each one.
There is:
1. left side triangle
2.right side triangle
3.slanted rectangle
4.bottom rectangle
5. back rectangle
all the rectangles are simple, so let's start with them.
the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.
the dimensions of the bottom rectangle are 5m and 7m, so its 35.
the back rectangle has 5m and 7m so it is 35.
Halfway done!!
Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.
the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.
20+20+35+35+56=166
and that's about it!
I hope this helps, sorry it took so long to answer, but I hope you have a good day!
-Scarlet
(see photo for my paper work)
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