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!

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.