Answer:
(2,-1) (3,-3)
is this a answer of your question
Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height
Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3
Q2.
8 x 12 would get the area of the base.
the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)
Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3
statement 1 is incorrect. The area of the base is actually 24 cm^2
statement 2 is correct.
statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).
statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.
statement 5 is correct.
statement 6 is incorrect. The volume of the pyramid is 72, not 216.
Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2
Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)
Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3
Answer:34
Step-by-step explanation:
She ended with 32 after the 15 earning from windows. 32-15=17 which is what she has before window money, which was half of her allowence 17×2=34
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
