Answer:
Volume of the rectangular prism = 280 cubes
Volume of the rectangular prism = (280/27) yd³
Step-by-step explanation:
length 3 and one third yd = 3 + (1/3) yd = (10/3) yd
width 2 and one third yd = 2 + (1/3) yd = (7/3) yd
height 1 and one third yd = 1 + (1/3) yd = (4/3) yd
Cubes of edge length (1/3) yd are used to fill the rectangular prism.
The length would contain (10/3) ÷ (1/3) = 10
The width would contain (7/3) ÷ (1/3) = 7
The height would contain (4/3) ÷ (1/3) = 4
Volume of the rectangular prism = 10×7×4 = 280 cubes
Or
Volume of rectangular prism = (10/3)(7/3)(4/3) = (280/27) yd³
89/10 would equate to 8 9/10 and 13/4 would be 3 1/4 so 8.9-3.25 equals 5.65
Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)
