A container is in the shape of the rectangular prism shown. Stan measures the length of PS as 12 feet, the length of SR as 9 feet, and the length of RV as 8 feet. Stan needs to calculate the distance from point P to point V.
A. 15 feet
B. 23 feet
C. 17 feet
D. 21 feet
What is the distance from point P to point V?
To find the distance from point P to point V, we can use the Pythagorean theorem since we have a right triangle formed by PS, SR, and PV.
First, we can calculate the length of PV using the Pythagorean theorem:
PV^2 = PS^2 + SR^2
PV^2 = 12^2 + 9^2
PV^2 = 144 + 81
PV^2 = 225
PV = √225
PV = 15 feet
Therefore, the distance from point P to point V is 15 feet.
The answer is A. 15 feet.