10. what is the volume of the prism to the nearest whole unit?

Mathematics

2 answers:

Ainat [17]3 years ago

6 0

To calculate the volume of the rectangular prism and the triangular prism you will multiply the area of the base by the height of the prism.

1. V = BH
V = lwH
12 x 8 x 4
V = 384 cubic inches

2. V = BH
V = 1/2bhH
1/2 x 12 x 2 x 18
V = 216 cubic feet

s2008m [1.1K]3 years ago

4 0

Answer:

10. Option 1

11. Option 3

Step-by-step explanation:

Given the dimensions of rectangular prism. we have to calculate the volume of prism.

Length, l=12 inches

Width, w=8 inches

Height, h=4 inches

$Volume=lwh=12\times 8\times 4=384\thinspace in^3$

Option 1 is correct.

Given the dimensions of triangular prism. we have to calculate the volume of prism.

Length, H=18 ft

Base, b=12 ft

Height, h=2 ft

$V=\frac{1}{2}bhH=\frac{1}{2}\times 12\times 2\times 18=216ft^3$

Option 3 is correct.

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Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Neko [114]

Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = -3 and k = -8.

Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2