Answer:
The volume of the carton is 5 1/3 cubic feet
Step-by-step explanation:
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.
The dimensions can be rewritten as
Length of carton =2 2/3 = 8/3 converting to improper fraction).
width of 1 1/3 feet = 4/3 feet
and a height of 1 1/2= 3/2 ,feet
volume of the carton = length of the carton × width of the carton × height of the carton
Volume of carton = 8/3 ×4/3 × 3/2
= 96/18 cubic feet
Converting to mixed fractions, we have
96/18= 5 1/3 cubic feet
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
50
Step-by-step explanation:
Answer:
Formula for finding the volume of a trapezoidal prism =\frac{1}{2}(b_1+b_2)h
Step-by-step explanation:
3/4 feet
You can set this up as an equation and solve
