NEED Help ASAP I WILL GIVE BRAINLIST
Sophia bought a fish tank with the dimensions shown below.
Which is closest to the number of cubic FEET of water needed to fill the fish tank? Hint: There are 1,728 cubic inches in 1 cubic foot.
A
0.8 cubic feet
B
2.5 cubic feet
C
240.0 cubic feet
D
1,440 cubic feet
Answers
0.8 cubic feet is closest to the number of cubic feet of water needed to fill the fish tank.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
To find the number of cubic feet of water needed to fill the fish tank
we need to first convert the dimensions of the tank from inches to feet.
since the conversion factor between cubic inches and cubic feet is 1,728.
Length in feet = 20 inches ÷ 12 inches/foot
= 1.67 feet
Height in feet = 12 inches ÷ 12 inches/foot
= 1 foot
Width in feet = 6 inches ÷ 12 inches/foot
= 0.5 feet
The volume of the fish tank in cubic feet is:
Volume = length × height × width = 1.67 feet × 1 foot × 0.5 feet = 0.835 cubic feet
Hence, the number of cubic feet of water needed to fill the fish tank is 0.8 cubic feet, Option A is correct.
To learn more on Three dimensional figure click:
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Given:
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To find:
The trigonometric ratios [tex]\sin B, \tan A, \cos B[/tex].
Solution:
Using Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
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Taking square root on both sides.
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[tex]8=BC[/tex]
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[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
[tex]\sin B=\dfrac{AC}{AB}[/tex]
[tex]\sin B=\dfrac{6}{10}[/tex]
[tex]\sin B=\dfrac{3}{5}[/tex]
Similarly,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
[tex]\tan A=\dfrac{AC}{BC}[/tex]
[tex]\tan A=\dfrac{6}{8}[/tex]
[tex]\tan A=\dfrac{3}{4}[/tex]
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[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
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[tex]\cos B=\dfrac{8}{10}[/tex]
[tex]\cos B=\dfrac{4}{5}[/tex]
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