The volume of the prism shaped fish tank is: 408 in.³.
<h3>What is the Volume of a Prism?</h3>
Volume of prism = base area × height of prism.
The fish tank is a prism having a height of 8 inches. To find its volume, find the base area, which is the area of the composite figrue given.
Thus:
Base area = area of rectangle + area of triangle = (length × width) + (1/2(base × height).
Given:
- Length = 7 in.
- Width = 6 in.
- Base = 6 - 3 = 3 in.
- Height = 13 - 7 = 6 in.
Therefore:
Base area = (7 × 6) + 1/2(3 × 6)
Base area = 51 in.²
Volume of the prism shaped fish tank = 51 × 8 = 408 in.³.
Learn more about volume of prism on:
brainly.com/question/4192447
Answer:2 and 3
Step-by-step explanation:
Since order matters this would be a permutation
7 P 4
There are 840 unique possibilities
Answer:
t10 = 59x - 30
Step-by-step explanation:
a = 5x + 6
d = 11x + 2 - 5x - 6
d = 6x - 4
n = 10
tn = a + (n - 1)*d
t10 = 5x + 6 + (10 - 1) ( 6x - 4)
t10 = 5x + 6 + 9(6x - 4)
t10 = 5x + 6 + 54x - 36
t10 = 59x - 30
Check by finding the 3rd term
d = 6x - 4
n = 3
a = 5x + 6
t3 = 5x + 6 + (3-1)*(6x - 4)
t3 = 5x + 6 + 2(6x - 4)
t3 = 5x + 6 + 12x - 8
t3 = 17x - 2 which is exactly what it should be.
The answer is sometimes true