So, i have a bunch of math questions and if someone can answer some or all of them that would be great.

question 1:

a sandwich box is shown with a right triangle side. the right triangle has hypotenuse 12 cm and base 5 cm.

what is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture?

a) 4.1 centimeters
b) 7.0 centimeters
c) 8.5 centimeters
d) 10.9 centimeters

question 2:

which of the following shows the length of the third side, in inches, of the triangle?

one side of the triangle is labeled as 74 inches. the height of the triangle is labeled as 24 inches.

a) √6052 inches
b) 50 inches
c) 70 inches
d) √98 inches

question 3:

a right triangle pqr is shown with the right angle at q. the length of side pq is labeled as 36 cm, and the length of side qr is labeled as 48 cm.

what is the length (in centimeters) of side pr of the triangle?

a) 36 centimeters
b) 42 centimeters
c) 60 centimeters
d) 84 centimeters

question 4:

a right triangle with hypotenuse x and legs 7 and 24. what is the length of the unknown side?

a) 7
b) 24
c) 25
d) 31

question 5:

three squares having side lengths 6 cm, x cm, and 8 cm joining to form a right triangle at the center. what is the value of x?

a) 2 centimeters
b) 6 centimeters
c) 8 centimeters
d) 10 centimeters

question 6:

the length of the hypotenuse of a right triangle is 145 units. the length of one leg of the triangle is 144. mike wrote the following step to find the length of the unknown leg:

length of the unknown leg = 145² − 144² = 21,025 − 20,736 = 289 units

which statement best explains whether mike's step is correct or incorrect?

a) it is incorrect because the length of the unknown side is the square root of 289.
b) it is incorrect because the length of the unknown side is the square root of 41,761.
c) it is correct because the length of the unknown side is the difference of the lengths of the sides.
d) it is correct because the length of the unknown side is the difference of the squares of the sides.

question 7:

a rectangle has a length of 63 m, a width of x m, and a diagonal of 65 m. what is the value of x?

a) 2 meters
b) 16 meters
c) 63 meters
d) 65 meters

question 8:

a cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches.

how many more cubic inches of juice will cup b hold than cup a when both are completely full? round your answer to the nearest tenth.

a) 18.8 cubic inches
b) 21.9 cubic inches
c) 25.1 cubic inches
d) 32.6 cubic inches