Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Answer:
The exact value of its surface area = 144π m²
The exact value of its volume = 288π m³
Step-by-step explanation:
∵ The diameter of the sphere is 12m
∴ The radius of the sphere = 12 ÷ 2 = 6m
∵ The surface area of the sphere = 4πr²
∴ The surface area = 4 × π × 6² = 144π m²
∵ The volume of the sphere = 4/3 πr³
∴ The volume = 
= 288π m³
the roots of the equation is option D.
Answer:
The rational function that is graphed is B
Answer:
Step-by-step explanation:
y = x - 1/4
x = 1/4 Put this value in for x
y = 1/4 - 1/4
y = 0
x = 13/4
y = 13/4 - 1/4 The denominators remain the same The numerators are subtracted.
y = (13 - 1)/4
y = 12/4
y = 3
If x is to = 2 then it must be changed so it's denominator is 4
2 = 8/4
y= 8/4 - 1/4
y = 7/4 or 1.75 or 1 3/4
