Answer:
(7) 1482 in³
(8) 216 yd³
Step-by-step explanation:
Formulas
<u>Volume</u><u> </u><u>of</u><u> </u><u>prism</u>
= base × height/length
<u>Area of parallelogram</u>
= base × height
<u>Area of trapezium</u>
= (upper base + lower base) × height ÷ 2
(7)
Area of the base = 19×6
= 114 in²
Length = 13 in
Volume = 144×13
= <u>1482 </u><u>in</u><u>³</u>
(8)
Area of the base = (11+7)×12÷2
= 108 yd²
Length = 2 yd
Volume = 108×2
= <u>216 yd³</u>
Answer:
11/15 red, 4/15 blue
Step-by-step explanation:
There are 15 marbles in all so that is the denominator.
The numerator is the number of marbles for each color.
So...
11 red marbles / 15 total marbles
4 blue marbles / 15 total marbles
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Answer:
x < -3/2
Step-by-step explanation:
