D) f(n) = 3 + 4(n-1)
3 = 1st term
4 = common difference among the terms
n = term number you are looking for.
To check: 3, 7, 11, 15, ...
f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15
Answer:
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
Step-by-step explanation:
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 × s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 × 27 = 135 m
Width = 3 × 27 = 81 m
height = 27 m.
