Question

warm up 3
find the coordinates of the point (2, 3) after it has been translated along the vector (5, 7).
sat geometry practice
volume = length × width × height
the formula above gives the volume of a right rectangular prism. what is the volume, in cubic meters, of a rectangular prism that is 5 meters long, 3 meters wide, and 4 meters tall?
a. 12 cubic meters
b. 60 cubic meters
c. 19 cubic meters
d. 30 cubic meters

Explanation:

Step1: Calculate new x - coordinate

Add x - component of vector to original x - coordinate. $2 + 5=7$

Step2: Calculate new y - coordinate

Add y - component of vector to original y - coordinate. $3+7 = 10$

Step3: Find volume of rectangular prism

Use formula $V=l\times w\times h$, where $l = 5$, $w = 3$, $h = 4$. So $V=5\times3\times4=60$

Answer:

The coordinates of the translated point are $(7,10)$.
B. 60 cubic meters