9514 1404 393
Answer:
- rectangular prism: 288 ft³
- triangular prism: 72 ft³
- total: 360 ft³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
__
The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
__
The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
Answer:
x = 2
Step-by-step explanation:
9^2 or 9(9) = 81
No, you should have reduced each base to...
3^(3*2x) = 3^(2*(x-3))
and then you can cancel each base
3*2x = 2*(x-3)
6x = 2x-6
4x= -6
x = -3/2
Answer:
c = 11.03 m
Step-by-step explanation:
In this given <em>right isoceles triangle</em>, one of the sides are labeled as 7.8 m. We'll label this side as "a."
The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.
We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."
According to the Pythagorean Theorem: 
.
We'll plug in the values for side "a" and side "b" into the formula:
To calculate the value of "c," we must take the squared root of 
:
c = 11.03087 m or 11.03 m
By the way, the value of c = <em>a </em>
