A triangular pyramid has a volume of 333 and one-third yards cubed. What are the possible measures of the area of the base, B, and the height, h, of the pyramid? (Recall the formula V = one-third B h.)
B = 50 centimeters squared; h = 10 centimeters
B = 50 centimeters squared; h = 30 centimeters
B = 100 centimeters squared; h = 10 centimeters
B = 100 centimeters squared; h = 30 centimeters

PLZ HELP ME

To find the option that satisfies the volume of the triangle, we can solve each option.

Formula for the volume a triangular prism: V = 1/3bh

Option A:

B = 50 centimeters squared; h = 10 centimeters

V = 1/3(50)(10)

V = 1/3(500)

V = 166.666... or 166 2/3 yards.

Therefore, this option is incorrect.

Option B:

B = 50 centimeters squared; h = 30 centimeters

V = 1/3(50)(30)

V = 1/3(1500)

V = 500 yards.

Therefore, this option is incorrect.

Option C:

B = 100 centimeters squared; h = 10 centimeters

V = 1/3(100)(10)

V = 1/3(1000)

V = 333.333... or 333 1/3 yards.

Therefore, this option is correct.

Option D:

B = 100 centimeters squared; h = 30 centimeters

V = 1/3(100)(30)

V = 1/3(3000)

V = 1000 yards.

Therefore, this option is incorrect.

Hence, the correct answer is [ B = 100 centimeters squared; h = 10 centimeters ]

Best of Luck!

17.08

correct me if i am wrong.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.