Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°
because they form corresponding Angle pair
Question 2. If m∠7 = 30 degrees, find m∠2 = 30°
because they form Alternate Exterior angle pair
Question 3. If m∠6 = 50 degrees, find m∠4 = 50°
because they form Alternate Interior Angle pair
Question 4. If m∠4 = 72 degrees, find m∠1 = 108°
because they form linear pair, their sum = 180°
Answer:
- sign between 9 and 64 under root, it should be + sign
Step-by-step explanation:
(-4)*(-8)(2)= 64
It should read x= √9+64 but not √9-54 which lead to incorrect solution
Answer:
Surface area = 6l^2
Volume = l^3
If total surface area increased by 2, then the length increased by 
Volume then is increased by (
l)^3 = 2
l^3
1 :2 
Which is not an option in the question so this question clearly has a problem.
First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.
Second of all, if the answer is 8:1 the question should be "If <u>each sides</u> of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.
Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled <u>by doubling the height and without changing the length and width</u>" But, then the the shape would no longer be a cube.
Who even wrote this garbage question what.
Answer:
Step-by-step explanation
just plug in 0 for z so it would change to -2<6